# Thread: determining the elevation angle

1. ## determining the elevation angle

if the length of the shadow of a flagpole 22 ft long is 8.4 ft., determine the angle of elevation of the sun.

2. Originally Posted by eepyej
if the length of the shadow of a flagpole 22 ft long is 8.4 ft., determine the angle of elevation of the sun.
The angle of elevation will be the angle the suns rays make with the ground. These rays will be parallel to the hypotenuse of the right triangle formed by the 22 ft pole and the 8.4 ft shadow. So
$\displaystyle tan(\theta) = \frac{22~ft}{8.4~ft}$
What is $\displaystyle \theta$?

-Dan

Edit: Hehe. I got the measurements backward. Sorry about that. I have fixed it.

3. The angle of elevation ($\displaystyle \theta$) can be calculated by trigonometry.

$\displaystyle \tan \theta = \frac{\text{Opposite}}{\text{Adjacent}}$

In this case, Opposite will be the flagpole. Adjacent will be the shadow. Insert the values into the formula and work out $\displaystyle \theta$.