Question

The distance between the end of a lamppost's shadow and the top of the lamppost is 22 feet. The angle measure of the shadow is 15°.

How tall is the lamppost, rounded to the nearest tenth of a foot? Type the numeric answer only in the box below.

Answer 1

do you know the law of sinnes?

Answer 2

sines*

Answer 3

No. I know that it's opposite/hypotenuse though

Answer 4

so what you jsut said is\[\sin(15)=\frac{x}{22}\]

Answer 5

solve for x

Answer 6

I don't know how to do that

Answer 7

sure you do,multiply both sides by 22\[22*\sin(15)=\frac{x}{\cancel{22}}*\cancel{22}\\x=22\sin(15)\]

Answer 8

Oh ok, so x=5.7?