Question

Bugs Bunny was 42 meters below ground, digging his way toward Albuquerque, when he realized he wanted to be above ground. He turned and dug through the dirt diagonally for 100 meters until he was above ground.
What is the angle of elevation, in degrees, of Bugs Bunny's climb?

Round your final answer to the nearest tenth.

ANSWER IF YOU ONLY KNOW IT BAE

Answer 1

The strategy

Model the situation as a right triangle.

Determine the appropriate trigonometric ratio in order to find the missing angle.

Form an equation and solve for the missing angle.

Calculate the final result and round.

Modeling as a right triangle

This situation can be modeled by the following right triangle. The hypotenuse is 100 meters  and the height is 42 meters. We are asked to find the angle of elevation, which is the angle on the left. 

Determining the appropriate trigonometric ratio
We are given the side opposite to the missing angle and the hypotenuse The appropriate trigonometric ratio is therefore the SINE. 

Forming an equation and solving

 Denoting the missing angle by θ, we obtain the equation $sin(0)= 42/100$

Solving the equation, we get $0=sin^-^1 (42/100)$

 Evaluating this result in the calculator and rounding to the nearest tenth, we get θ = $24.8^0$ degrees.