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° = [tex]\frac{\text{Base}}{\text{Hypotenuse}}[/tex]
cos65° = [tex]\frac{x}{81.90}[/tex]
0.4223 = [tex]\frac{x}{81.90}[/tex]
x = (0.4223)×(81.90)
x = 34.61
Option A. 34.61 is the correct option.