Question

if a tree has a height of 125 feet, what would be the angle of elevation from level ground measured from 98 feet away? round your answer to the nearest tenth of a degree. answer attempt 2 out of 2

Explanation:

Step1: Identify the trig - function

We have a right - triangle situation where the height of the tree is the opposite side ($y = 125$) and the distance from the tree is the adjacent side ($x = 98$) to the angle of elevation $\theta$. We use the tangent function $\tan\theta=\frac{y}{x}$.
$\tan\theta=\frac{125}{98}$

Step2: Solve for the angle

We know that $\theta=\arctan(\frac{125}{98})$.
$\theta=\arctan(1.27551)$

Step3: Calculate the value

Using a calculator, $\theta\approx52.0^{\circ}$

Answer:

$52.0^{\circ}$