Question

In this triangle, what is the value of x?

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

Answer 1

Answer: the answer is 67.1

Answer 2

x = 66.93

Explanation:

By pythagoras theorem,

72² = 28² + y²

⇒ y² = 72² - 28²

⇒ y² = 4400

⇒ y = 66.33

sin x = opposite/hypotenuse

sin x = 66.33/72

sin x = 0.92

`x = sin^(-1) (0.92)`

x = 66.93