Question

Nara created to right triangles. She started with <| JKL and drew a altitude from point K to side JL. What is he measure of x to the nearest tenth centimeter. ((Show Work))

Answer 1

To solve the problem shown above you must apply the proccedure shown below:

1. The first thing you must do is to calculate the height of the triangles, as below:

Tanα=opposite/adjacent
Tan(30)=y/5
y=2.88 cm

2. Now, you can calculate "x" by applying the Pythagorean Theorem:

a²=b+x²
x=√(a²-b)
x=√(12 cm)²-(2.88 cm)²
x=11.6 cm