Respuesta :

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!

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