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 65. The length of the side adjacent to ∠ J is 33 and the length of the side opposite to ∠ J is 56. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin J
Length of leg opposite to∠ J/Length of hypotenuse
56/65≈ 0.86
cos J
Length of leg adjacent to∠ J/Length of hypotenuse
33/65≈ 0.51
tan J
Length of leg opposite to∠ J/Length of leg adjacent to∠ J
56/33≈ 1.70
Ratios for ∠ L
We already know the length of the hypotenuse is 65. Let's identify the sides that are opposite and adjacent to ∠ L.
The length of the side adjacent to ∠ L is 56 and the length of the side opposite to ∠ L is 33. With this information, we can find the desired ratios.
Ratio
Definition
Value
sin L
Length of leg opposite to∠ L/Length of hypotenuse
33/65≈ 0.51
cos L
Length of leg adjacent to∠ L/Length of hypotenuse
56/65≈ 0.86
tan L
Length of leg opposite to∠ L/Length of leg adjacent to∠ L
