A cloud directly above you is about 10° across. From the weather report, you know that the cloud is at an altitude of 2200 m. How wide is the cloud?

Respuesta :

The width of the cloud is 12500 meters wide.

The situation forms a right angle triangle.

What is a right angle triangle?

Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.

tan 10 = opposite / adjacent

Therefore,

tan 10° = 2200 / a

cross multiply

a = 2200 / tan 10°

a = 2200 / 0.1763269807

a = 12500 meters

Therefore, the width of the cloud is 12500 meters .

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