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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))

Nara created to right triangles She started with lt JKL and drew a altitude from point K to side JL What is he measure of x to the nearest tenth centimeter Show class=

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carlosego
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