The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel during this time?

Q: 4. Suppose that the angle of elevation of the sun is 23.4. Find the length of the shadow cast by…

A:

Q: What’s the area of a sector of a

A: Given that: Arc length = 12.5 m. Central  Angle = π6

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: This question is based on the concept of right angle triangle and trigonometric ratios.

Q: A 10-ft pendulum swings through an angle of 46°18. What is the length of the arc that the tip of the…

A:

Q: The base of the ladder in the figure is a = 7 ft from the building, and the angle formed by the…

A:

Q: In a circle with a 8 yard diameter, an arc 27 yard long subtends an angle of how many degrees, to…

A: Given that the diameter of circle (D) = 8 yard   Arc of circle (L) = 27 yard   To calculate the…

Q: On a circle of radius 14 ft, how long is an arc that subtends a central angle of (a) 4pi/7 radians?…

A: Length of an arc substracting an angle θin radiansat the centreis given by ,l=θrwhere r : radius…

Q: 2) Calculate how far from the base of the tower Zachary placed the ladder. (hint: Youll need the top…

A: Topic:- geometry and trigonometry

Q: given that csc (θ) = - (square root of 5 / 2) and θ is in Quadrant IV, what is cot (θ)? Give the…

A:

Q: If the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.9 feet…

A: Given : The angle of elevation of the sun is 73°30', and shadow 1.9 feet long.    θ = 73°30' = 73° +…

Q: On a circle of radius 8 feet, what angle would subtend an arc of length 6 feet? degrees

A: it is a very easy concept of circle.

Q: If a 22.5 meter building casts a 34-meter shadow, what is the angle of elevation of the sun? Round…

A:

Q: From the top of one of the gateposts in Manggahan High School, a bird saw a cat on the ground with…

A: We can make it easier for you

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given ,  L = 30 cm = 0.3 m  r = d/2 = 1/2 =0.5 m  L = rθ

Q: Find the measure of arc AB. 9.

A: We are given a circle whose radius is 6 units. The diameter of the circle is AB. We have to find the…

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Given,

Q: A 39-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A: To find the height

Q: An isosceles triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given: The base length of the isosceles triangle is 17 inches and the length of two congruent sides…

Q: On a circle of radius 10 m, how long is an arc that subtends a central angle of (a) 4p>5 radians?…

A:

Q: Find the area of a triangle with sides of length 14 and 20 and included angle 16° (Round to the…

A: Recall:  Area of triangle= 12ab sinθ a and b are sides of the triangle and θangle between them

Q: How long is the side adjacent to angle A?

A:

Q: Find the area of a parallelogram that has pairs of sides of lengths 3 and 12, with an angle of π/3…

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Q: 1. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: "Since you have posted multiple questions we will solve the first question for you. If you want any…

Q: In a circle of radius 2, the length of the arc that subtends a central angle of 222 degrees is_____?…

A:

Q: Evaluate the area of the sector of a circle if its radius is 9.4 cm and the angle subtended at the…

A:

Q: 8 cm 50

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Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A: Using trigonometric identities.

Q: Find the length of the arc and area of the sector for a central angle of 120◦ inscribed in a 9cm…

A: From the given information, it is observed that θ=120° and r=9 cm. It is known that, the formula to…

Q: The base of the ladder in the figure is a = 10 ft from the building, and the angle formed by the…

A:

Q: On a circle of radius 5 feet, what angle would subtend an arc of length 6 feet? degrees

A: Given that,  r = 5 feet Arc length = 6 feet. The formula to find angle is,

Q: 2. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: #2  Find the length of the flagpole

Q: If you roll a 1-m-diameter wheel forward 30 cm over level ground, through what angle will the wheel…

A: Given,1-meter diameter wheel is rolling forward, 30 cm over level ground.To find an angle for which…

Q: A large winch with a radius of 1ft winds in 3 ft of cable.  A) through what angle (in radians) has…

A: a) Given that large winch with a radius of 1ft winds in 3ft of cable. Obtain the angle through which…

Q: Find the length of AB. 7 in. Round to the nearest whole number. The length of arc AB is…

A:

Q: In a right triangle, The side opposite angle O has a length of 29.0 meters, the side adjacent to…

A: Use formula of trigonometric ratio cot

Q: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: Find the length of arc AB. 4 A 120°

A: Given:

Q: In building a garage onto his house, Gene wants to use a sloped 12-ft roof to cover an expanse that…

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Q: ABCD is a kite, so AC I DB and DE = EB. Calculate the length of AC, to the nearest tenth of a…

A: Apply Pythagoras theorem △ADE Apply Pythagoras theorem △CED

Q: What is length of the highlighted arc? Leave your answer in terms of pi. 4 110° 11x 9 44x 9 О 22т 9.…

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Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

A:

Q: On a circle of radius 10 m, how long is an arc that subtends a cen-tral angle of (a) 4pai/5 radians?…

A: (a)Consider the circle of radius 10 m. and central angle subtended by arc on circle is 4π/5 radians.

Q: If a 50 foot cable supporting a circus tent is staked into the ground at an angle of elevation of…

A: Explanation of the answer is as follows

Q: Find the area of the parallelogram whose sides are 67 cm and 43 cm, the acute angle between them…

A: Using the area of parallelogram, we can find the area

Q: on a circle of radius 13km how long is an arc that subtends a central angle of (a) 6pi/7 radians?…

A:

Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

A:

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the…

A: Topic :- trigonometry and triangle

Q: Consider this right triangle. 57° C Enter the length of side AC, to the nearest tenth.

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Q: A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the…

A: Given , Height to building = 33 mand Distance from the top to the building tothe tip to the shadow =…

Q: The dial of Big Ben's clock in London is 23 feet in diameter. How long is the arc traced by the…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.