Question

Find sin(a) in the triangle.

Answer 1

D. 20/29

Explanation:

The sine of an angle in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, or
`sin(a) = (opposite)/(hypotenuse)`. The hypotenuse is the longest side of a right triangle.

In this case, the opposite side has length 20, and the hypotenuse has length 29. Therefore, the answer is

`sin(a) = (20)/(29)`.

To remember this (and the other trigonmetric ratios), you can use the acronym SOCAHTOA, where

SOH is sin(a) = opposite/hypotenuse

CAH is cos(a) = adjacent/hypotenuse

TOA is tan(a) = opposite/adjacent