Solve the Problem

question 169

Multiple Choice

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He visually locates two rocks on the ground below at the base of the sand pile. The rocks are on opposite sides of the sand pile, and he and the two rocks are in line with one another. If the angles of depression from the top of the sand pile to each of the rocks are 17° and 26°, how far apart are the rocks? ​

• A)80 ft
• B)82 ft
• C)87 ft
• D)90 ft
• E)75 ft

---

Definitions:

Cataracts

A common eye condition where the lens becomes progressively opaque, leading to blurred vision and, in severe cases, blindness if left untreated.

Conduction Hearing Loss

A type of hearing impairment where there is a problem transferring sound waves through the outer or middle ear.

Eardrum

The thin layer of tissue that separates the external ear from the middle ear and vibrates in response to sound waves, playing a key role in hearing.

Middle Ear Bones

The three small bones located in the middle ear, known as the malleus, incus, and stapes, which play a crucial role in transmitting sound vibrations to the inner ear.