Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. How far away from the campsite is the base of the cliff? Round to the nearest foot.

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.  

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.  

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

Upon rounding to nearest foot, we will get:

Therefore, the campsite is 681 feet away from the base of the cliff.

$12. that is my answer.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°