Question

Annie is at the top of the stairs lookingdown at her puppy at the bottom of thestairs. If the angle of depression fromAnnie to her puppy is 56 degrees, and thevertical height of the stairs is 11 feet how far away is Annie from her puppy

Answer 1

Given:

Angle of depression = 56 degrees

Vertical height = 11

Let's draw the diagram:

Therefore, we have:

Since we are to find hypotenuse, we use:

`\sin \text{ 56 = }(11)/(x)`

wher x is the distance between Annie and her puppy

Solving further, we have:

`x\text{ sin 56 = 11}`
`x\text{ = }(11)/(\sin 56)\text{ = }13.3\text{ ft}`

The distance between Annie and her puppy is 13.3 ft

ANSWER:

13.3 FT