Question

The distance between the end of a lamppost’s shadow and the top of the lamppost is 39 feet. The angle measure of the shadow is 23°. How long is the shadow of the lamppost to the nearest tenth of a foot?

Answer 1

ha. easy

Answer 2

use cos(theta)

Answer 3

cos(theta)=base/hypotenuese

Answer 4

\[\cos \theta=base/hyp\]\[\cos(23)=x/39\]now can you compute the value of x?

Answer 5

cos(23)=0.92

0.92=x/39

0.92*39=x

35.89=x

or

x=35.89