Question

A 10 foot ladder is leaning against the side of a building. If the ladder makes an angle of 58o with the ground, how far up the wall does the ladder reach?

Answer 1

To understand this question, we should draw a figure

We want to find h

Since h is the opposite side of the angle 58

Since the ladder is the hypotenuse

Then we will use the trigonometry ratio sin

`\sin (58)=(h)/(10)`

By using the cross multiplication

`h=10*\sin (58)`

Solve the right side

`h=8.480480962`

Round it to the nearest hundredth

h = 8.48 ft

The ladder reaches 8.48 feet