Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

Check the picture below.

make sure your calculator is in Degree mode.

Answer 2

x=56.7

Explanation:

From the given triangle, the opposite side of angle x is 66 mm

79 mm is opposite to the right angle, so hypotenuse = 79 mm

we know the opposite side and the hypotenuse

To find the angle we use sin

`sin(x)= (opposite side)/(hypotenuse)`

opposite side = 66

hypotenuse = 79

`sin(x)= (66)/(79)`

`x=sin^(-1)((66)/(79))`

x=56.66199855

Round the answer to nearest tenth

x=56.7