Question

What is the value of X? round to the nearest hundredth

question 1 options:

A. 34.61
B.74.23
C.175.64
D.193.79

Answer 1

Option A. 34.61

Explanation:

The given triangle is a right angle triangle with the measure of one angle = 65°, adjacent side or base of the triangle = x and largest side (hypotenuse) of the triangle = 81.90

Now we have to calculate the measure of x.

Now in the right angle triangle we apply cosine rule.

cos65° =
`\frac{\text{Base}}{\text{Hypotenuse}}`

cos65° =
`(x)/(81.90)`

0.4223 =
`(x)/(81.90)`

x = (0.4223)×(81.90)

x = 34.61

Option A. 34.61 is the correct option.

Answer 2

Using the law of Cosine:

Cos(angle) = Adjacent Leg / Hypotenuse

Cos(65) = x / 81.9

x = 81.9 x cos(65)

x = 34.61

The answer is A.