Question

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.

Answer 1

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

Answer 2

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Trigonometric Ratio

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

• opposite (ski run) = 1000 yards
• adjacent (vertical drop) = 208 yards

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

$tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0$

From the calculation above, the angle of depression is equal to 76.23 degrees.

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