Question

A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 70°. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Answer 1

The value of height does the ladder reach on the building = 21 ft

Explanation:

length of the ladder = 22 ft

Angle between the ground and the ladder = 70°

Now we have to calculate ( h ).

From the triangle ABC ,
`\sin \theta` =
`(h)/(22)`

⇒ h =
`\sin \theta` × 22

Put the value of
`\theta` = 70° we get,

⇒ h =
`\sin` 70° × 22

⇒ h = 21 ft

This is the value of height does the ladder reach on the building.