Question

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

Answer 1

Answer:

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° = $\frac{\text{Base}}{\text{Hypotenuse}}$

cos65° = $\frac{x}{81.90}$

0.4223 = $\frac{x}{81.90}$

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.