For the given right triangle, find the value x to the nearest tenth:​

130.7

Step-by-step explanation:

Tan = opposite / adjacent

Tan71 =

tan of 71 is 2.904

2.904 =

Multiply 45 on both sides

2.904 x 45 =   x 45

130.68 = x

Round to the nearest tenth:

130.68 = 130.7

Hello!

For this type of problem, we are given a right triangle, and my go-to for finding a side length with another given side length and an angle value would most likely be the law of sines.

The law of sines states that:

In the given triangle, the would be 45, and the opposite angle , would be the .

The same can be applied to the other side of the proportion.

The opposite angle of side can be found using the definition of the combined angle of a triangle.

So now we can set up our proportion.

And we get that is around 15.5.

Hope this helps!