Answer:
139 ft
Explanation:
Given below is the diagram of the situation
the tangent ratio fo 24 degrees gives
[tex]\tan 24=\frac{h}{300}[/tex]multiplying both sides by 300 gives
[tex]300\cdot\tan 24=h[/tex][tex]h=133.57ft[/tex]We have to remember here that the measuring device was 5 ft above the ground; therefore,
[tex]\text{height}=133.57+5[/tex][tex]\text{height}=138.57ft[/tex]rounding to the nearest integer gives
[tex]\text{height}=139ft[/tex]which is our answer!