Question

right triangles 1, 2 and 3 are given with all their angle measures and approximate side lengths. use one of the triangles to approximate the ratio $\frac{kl}{jl}$. choose 1 answer: a 0.64 b 0.77 c 0.83 d 1.2

Explanation:

Step1: Identify the relevant triangle

The triangle with a $40^{\circ}$ - angle is triangle 3. In right - triangle 3, if we consider the angle $\angle J = 40^{\circ}$, $KL$ is the side opposite to $\angle J$ and $JL$ is the hypotenuse.

Step2: Calculate the ratio

In right - triangle 3, the length of the side opposite the $40^{\circ}$ angle ($KL$) is $6.4$ and the length of the hypotenuse ($JL$) is $10$. The ratio $\frac{KL}{JL}=\frac{6.4}{10}=0.64$.

Answer:

A. 0.64