Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ J.
We see that the length of the hypotenuse is 34. The length of the side adjacent to ∠ J is 16 and the length of the side opposite to ∠ J is 30. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin J
Length of leg opposite to∠ J/Length of hypotenuse
30/34≈ 0.88
cos J
Length of leg adjacent to∠ J/Length of hypotenuse
16/34≈ 0.47
tan J
Length of leg opposite to∠ J/Length of leg adjacent to∠ J
30/16≈ 1.88
Ratios for ∠ L
We already know the length of the hypotenuse is 34. Let's identify the sides that are opposite and adjacent to ∠ L.
The length of the side adjacent to ∠ L is 30 and the length of the side opposite to ∠ L is 16. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin L
Length of leg opposite to∠ L/Length of hypotenuse
16/34≈ 0.47
cos L
Length of leg adjacent to∠ L/Length of hypotenuse
30/34≈ 0.88
tan L
Length of leg opposite to∠ L/Length of leg adjacent to∠ L
