Question

Using Trigonometric ratios, solve the following triangle

for x, round answer to the nearest hundredths place.
27
x
24%

Answer 1

29.56

Explanation:

From the given diagram

x = hypotenuse

27 = adjacent

Using SOH CAH TOA identity

cos theta = adj/hyp.

Cos 24 = 27/x

x = 27/cos24

x = 29.56

Hence the value of x to the hundredth place is 29.56