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# What are examples of trigonometry word problems?

**A typical trigonometry problem is: If the bottom of a ladder leaning against a building is 15 feet from the base of the building and forms a 45-degree angle with the ground, how tall is the ladder?** Another example involves a ramp that is 40 feet long and set at a 20-degree angle of inclination. How high off the ground is someone who walks to the end of the ramp?

The flagpole problem provides the height of a flagpole and the length of its shadow. For example, if a flagpole is 18 feet high and casts a shadow of 24 feet, what is the distance from the end of the shadow to the top of the flagpole? What is the angle between the line representing this distance and the shadow?

Trigonometry word problems describe objects that form a triangle, provide measurements and ask for the missing information. Solving the problem usually involves making a drawing and using a trigonometry function.

A more difficult trigonometry word problem involves an airborne object, a vehicle on the ground and two angles of elevation, and then asks for the speed or distance the vehicle traveled. For example, a hot-air balloon is hovering 800 feet above a road. A truck driver sees the balloon at an angle of 20 degrees. After 30 seconds of driving, the truck driver sees the balloon at an angle of 65 degrees. How far did the truck travel and how fast was it moving?

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Q:
## What are real life examples of linear pair?

A: A ladder placed against a building is a real life example of a linear pair. Two angles are considered a linear pair if each of the angles are adjacent to o... Full Answer >Filed Under: -
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## What are congruent angles?

A: Two angles are congruent if they have the same degree of angle. For example, two 110-degree angles would be congruent even if they didn't point the same di... Full Answer >Filed Under: -
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## How do you find the value of sin 15 degrees?

A: To find sin(15), you can use a calculator in degree mode or use the angle difference identity for sin: sin(a + b) = sin(a) * cos(b) + cos(a) * sin(b). The ... Full Answer >Filed Under: -
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## How do you determine cosine values?

A: To determine the value of the cosine of an angle in a right triangle, divide the length of the side adjacent to the angle by the length of the hypotenuse. ... Full Answer >Filed Under: