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1 vote
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.

User Tourki
by
5.4k points

2 Answers

3 votes

Final answer:

To find the angle of depression from the top of the ski run to the bottom, we can use trigonometry to calculate the tangent of the angle. The tangent of the angle is equal to the vertical drop divided by the horizontal distance.

Step-by-step explanation:

In order to find the angle of depression from the top of the ski run to the bottom, we can use trigonometry. The angle of depression is the angle between the horizontal line and the line of sight from the top of the ski run to the bottom. We can use the fact that the tangent of the angle of depression is equal to the ratio of the vertical drop to the horizontal distance. Therefore, we have:

tan(angle) = vertical drop / horizontal distance

Plugging in the values, we have:

tan(angle) = 208 / 1000

Using a calculator, we can find the value of the angle to be approximately 11.53 degrees.

User Kornelia
by
4.8k points
3 votes

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

User Deepthi
by
5.2k points
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