Question

A 50-foot tree casts a shadow 9 feet long. The sine of the angle of elevation of the top of the tree to the sun is approximately _____.

A. .98
B. .01
C. .18
D. .02

Answer 1

\[h^2=50^2+9^2\]
\[h=\sqrt{50^2+9^2}\]
\[h=50.80354318\]

\[\sin (A) = 9/h\]
\[\sin(A)=9/50.80354318=.1771529983=.18\]

Ans: C.

Answer 2

The answer was .98! But thanks for your help!