Question

Use the given information to solve the following:A 14 foot tall flag pole casts a shadow that is 34 feet long. What is the angle of elevation to the sun?Round answer to the nearest whole number.

Answer 1

`22^(\circ)`

1) We can sketch this out to better get it:

The angle of elevation can be found by using the trigonometric ratio tangent

and to find out the angle, we'll need to use the arctangent.

So we can write out the following:

`\begin{gathered} \tan (\theta)=(14)/(34)=(7)/(17) \\ \theta=\tan ^(-1)((7)/(17)) \\ \theta\approx22.38\approx22 \end{gathered}`

Note that we have rounded it off to the nearest whole number An that is

the answer 22º