Question

a surveyor wants to find the height of the wind turbine. he stands 100 ft away from the turbine and spots the angle of elevation by 70°. find the height of the turbine?

Answer 1

By Trigonometrical Ratio, we have that

$\begin{gathered} \tan 70^o=\frac{h}{100} \\ \text{Cross multiplying, we get} \\ h=100\tan 70 \\ h=100\times2.74748 \\ h=274.748\text{ }\approx\text{ 274.7 feet} \end{gathered}$

Therefore, the correct answer is 274.7 feet