Question

Question 10 (5 points) A 10-ft pole casts a shadow as shown in the figure. 6 to it (a) Express the angle of elevation of the sun as a function of the length s of the shadow. (b) Find the angle of elevation of the sun when the shadow is 15 ft long. (Round your answer to one decimal place.) Ω Format B 1 U ...

Answer 1

$\tan (a)=\frac{10}{s}\rightarrow a=\arctan (\frac{10}{s})$

and if the length of the shadow is 15, we get

$a=\arctan (\frac{10}{15})=33.7^{\circ}$