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# Geometry

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A 10-foot ladder is placed against a building so that the ladder makes a 78º angle with the ground. To the nearest tenth of a foot, at what height does the ladder touch the building?

A) 10.2 feet

B) 7.8 feet

C) 9.8 feet

D) 16.2 feet

Mar 4, 2022
edited by Guest  Mar 4, 2022

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Using trig, you have a triangle with a hypotenuse of 10, and an angle of 78. Doing $$10 \times \sin(78) = o$$

Solving, we find that it is 9.8 meters, or $$\color{brown}\boxed{\text C}$$

Mar 4, 2022