Question

In this triangle, what is the value of x?

Answer 1

Answer:

x=56.7

Step-by-step 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

$sin(x)= \frac{opposite side}{hypotenuse}$

opposite side = 66

hypotenuse = 79

$sin(x)= \frac{66}{79}$

$x=sin^{-1}(\frac{66}{79})$

x=56.66199855

Round the answer to nearest tenth

x=56.7

Answer 2

Check the picture below.

make sure your calculator is in Degree mode.