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

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.

Option A. 34.61

Step-by-step 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° =

cos65° =

0.4223 =

x = (0.4223)×(81.90)

x = 34.61

Option A. 34.61 is the correct option.

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