Answer the following:

Question

From the top of a vertical cliff 7 miles high, the angle of depression of an object that is level with the base of the cliff is 12 degrees. Which equation can be used to find the distance, x miles, between the object and the base of the cliff?

Choices:

x = 12 / tan 7⁰

x = tan 7⁰ / 12

x = 12 tan 7⁰

x = 7 / tan 12⁰

x = tan 12⁰ / 7

x = 7 tan 12⁰

Answer 1

From the top of a vertical cliff 7 miles high, the angle of depression of an object that is level with the base of the cliff is 12⁰. Which equation can be used to find the distance, x miles, between the object and the base of the cliff?

Choices: A) x = 12 / tan 7⁰, B) x = tan 7⁰ / 12, C) x = 12 tan 7⁰, D) x = 7 / tan 12⁰, E) x = tan 12⁰ / 7, F) x = 7 tan 12⁰

Detailed Solution:

Given/Known: y = 7 θ = 12⁰ x = ??

tan θ = y/x

tan 12⁰ = 7/x

x = 7/tan 12⁰ <== Final Answer (D) x = 7 / tan 12⁰)