A squirrel in a long glide typically covers a horizontal distance of 16 m while losing 8.0 m in altitude. during this glide, what is the angle of the squirrel's path below the horizontal?

Question

Mollie Silva

Mathematics

10 December, 05:29

A squirrel in a long glide typically covers a horizontal distance of 16 m while losing 8.0 m in altitude. during this glide, what is the angle of the squirrel's path below the horizontal?

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Konner · Answer 1

Let the starting position be A, and the ending position of the glide be B.

The triangle ABC shown in the figure, is a right triangle with side lengths 16m and 0.8 m.

The angle of the squirrel's path below the horizon is BAC.

Using right triangle trigonometry:

tan (ABC) = (opposite side) / (adjacent side) = 0.8/16=0.05

to find m (ABC) we calculate arctan (0.05) which is 2.86°

Answer: 2.86°