Question

a ladder 14 feet long makes an angle of 50 degrees with the ground as it leans against a building. To the nearest hundredth, how far up the building does the ladder reach

Answer 1

sin 50 = height / hypotenuse

Answer 2

height would give you how far up the building does the ladder reaches

Answer 3

Sine is opposite over hypotenuse. The length of the ladder is the hypotenuse.

\[\sin(50)=\frac {h} {14}\]
Solve for h to find the height.

Answer 4

*Unit correction: (14 deg should be 14ft)
Remember to use proper units in your answer.

Answer 5

thanks for putting in the picture too. I get it now