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!

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation: