Question

Bugs Bunny was

42

4242 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

100100 meters until he was above ground.

What is the angle of elevation, in degrees, of Bugs Bunny's climb?

Answer 1

24.83 degrees.

Explanation:

In the diagram, Bugs Bunny was initially at point A 42 meters below ground and dug diagonally 100 meters to point B.

We are to determine the angle of elevation,
`\angle BAX` of his climb.

Now,
`\angle BAX=\angle ABC$ (Alternate Angles)`

Using Trigonometric ratios

`\sin B=(AC)/(AB) \\\sin B= (42)/(100)\\\\B=\arcsin (42)/(100)\\\\B=24.83^\circ`

The angle of elevation of Bugs Bunny's climb is 24.83 degrees. (correct to 2 decimal places).