Question

What is the measure of x to the nearest degree? 8

Answer 1

We know that :

$\sf{\bigstar \ \ Cos\theta = \dfrac{Adjacent \ Side}{Hypotenuse}}$

From the figure, We can notice that :

Ф   Adjacent side length = 8

Ф  Hypotenuse length = 11

$\sf{\implies Cosx^{\circ} = \dfrac{8}{11}}$

$\sf{\implies x^{\circ} = Cos^{-1}\bigg(\dfrac{8}{11}\bigg)}$

$\sf{\implies x^{\circ} = 43.34}$