Question

Unit 8 right triangles trigonometry

Answer 1

I think the answer is X=13.834 units

Answer 2

X = 13.834 units

You need to use a trig function to solve for x. In relationship to the 70 degree angle, the 13 unit side is opposite to it. Side x is the hypotenuse. Because of this, you use the sine function. Sine of an angle = length of opposite side/length of hypotenuse (sin(x) = O/H). You already know two of these values, you just need to solve for the third.

Now, I plug 70 degrees in for c and 13 in for the length of the opposite side. I plug in x for length of hypotenuse.

sin(70) = 13/x
I need to isolate x on one side
x(sin(70))=13
x=sin(70)/13
x = 13.834