Question

Find the value of x rounded to the nearest degree

Answer 1

The correct answer is option(b). 44°

Explanation:

From the figure we can see a right angled triangle with one angle is x° and two sides are given.

To find the value of x

From the given figure we get the adjacent side of angle is given

Therefore we can write,

Cos x = Adjacent side/Hypotenuse

= 15/21

= 0.7142

x = Cos ⁻¹ (0.7142)

= 44°

Therefore the value of x = 44°

The correct answer is option(b). 44°

Answer 2

b 44 degrees

Explanation:

cos x = adjacent side / hypotenuse

cos x = 15/21

cos x = 5/7

Take the inverse cos of each side

cos ^-1 (cos (x) )= cos ^-1 (5/7)

x =44.4153086

To the nearest degree

x = 44 degrees