Aladder manufacturer recommends that its ladders be used on level ground at an angle of 72.5∘
72.5
°
to the horizontal. at that angle, how far up the side of a building will the top of a 14
14
-foot ladder reach?

round all side lengths to the nearest thousandth and round angle measures to the nearest degree.

A ladder manufacturer recommends that its ladders be used on level ground at an angle of 72.5 degree to the horizontal. At that angle, how far up the side of a building will the top of a 14 foot ladder reach ? Round all side lengths to the nearest thousandth and round angle measures to the nearest degree.

The height of building is 13.35 feet

Solution:

Height of ladder = 14 foot

Angle of 72.5 degree to the horizontal

We have to find the height of building

The ladder, ground and height of building forms a right angled triangle

The figure is attached below

ABC is a right angled triangle

AB = height of building = x

AC = height of ladder = 14 feet

Angle c = 72.5 degree

By defintion of sine,

Thus height of building is 13.35 feet