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a slide has an angle of depression of 58, if the slide is 12.3 m long, find the horizontal distance that the slide reaches

2 Answers

7 votes

Final answer:

To find the horizontal distance that the slide reaches, we can use trigonometry. Using the tangent function, we can determine that the horizontal distance is approximately 21.15 meters.

Step-by-step explanation:

To find the horizontal distance that the slide reaches, we can use trigonometry.

Since we have the angle of depression and the length of the slide, we can use the tangent function.

Tan(angle of depression) = Opposite / Adjacent

Tan(58°) = x / 12.3

x = 12.3 * tan(58°)

x ≈ 21.15 meters

Therefore, the horizontal distance that the slide reaches is approximately 21.15 meters.

The use of trigonometry, specifically the tangent function, is aptly applied to solve for the horizontal distance of the slide.

User Make It Simple
by
7.4k points
5 votes

Answer:

10.43m

Step-by-step explanation:

Sin 58 = opp/ hyp

Sin 58 = opp/ 12.3

0.8480 = opp/ 12.3

12.3 x 0.8480 = 10.43m

User Bob Hopez
by
7.0k points