Answered

Kira is standing 117 m from a building. The angle of elevation from where she is standing on the ground to the top of the building is 63°.

How tall is the building?



Round the final answer to the nearest tenth.

Enter your answer in the box.



Answer :

ANSWER: 229.6 meters
sketch the triangle to identify opposite, adjacent, and hypotenuse of the specified angle.

Explanation:

tangent = opposite/adjacent (soh cah toa)

the 63° is the angle from where Kira is standing that extends from the ground to the top of the building. This is the angle we are referring to in our calculations. The 117 m is represented by the “adjacent” side of the imaginary triangle, and the building’s height is opposite of the angle where Kira is standing.

Since we are looking for the height of the building, we will label that x. tangent(63) = x/117. to isolate x, we multiply both sides by 117, making the equation tan(63)*117=x. put that into our calculator, and we get 229.63. Round to the nearest tenth, making it 229.6.

Other Questions