Question

Bugs Bunny was 33 meters below ground, digging his way toward Pismo Beach, when he realized he wanted to be above ground. He turned and dug through the dirt diagonally for 80 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 1

Answer: The angle of elevation is 24.4° .

Step-by-step explanation:

Since we have given that

Distance between below the ground digging his way toward Pismo Beach =  AC= 33 meters

Length of diagonally until he was above ground = BC = 80 meters

We need to find the angle of elevation of Bug's Bunny's climb .

In Δ ABC,

we will use " Trigonometric Ratio :SOH" :

$\sin \theta=\frac{AC}{BC}=\frac{Perpendicular}{Hypotenuse}\\\\\sin \theta=\frac{33}{80}\\\\\sin \theta=0.4125\\\\\theta=\sin^{-1}(0.4125)\\\\\theta=24.36\textdegree\\\\\theta=24.4\textdegree$

Hence, the angle of elevation is 24.4° .

Answer 2

The angle of elevation of Bugs Bunny's climb is 24.4 degree.