Question

Given that tan x = 1/5 then tan y =?
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Answer 1

D. 1/2

Explanation:

Given the side adjacent to an angle is 25 and the tangent of the angle is 1/5, you want to know the tangent of an angle with the same opposite side, but an adjacent side of 10.

Tangent

The tangent of an angle is the ratio of the opposite side to the adjacent side.

Tan = Opposite/Adjacent

Then the Opposite side is ...

Opposite = Adjacent · Tan(x) = 25·1/5 = 5

Angle y

For angle y, the opposite side is the same, but the adjacent side is only 10:

Tan(y) = Opposite/Adjacent = 5/10

tan(y) = 1/2