Answer:
The correct answer is first option
X = 34.61
Step-by-step explanation:
<u>Points to remember</u>
<u>Trigonometric ratios</u>
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = Opposite side/Adjacent side
From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.
One angle = 65°
To find the value of x
We have Cos θ = Adjacent side/Hypotenuse
Cos 65 = X/81.9
X = 81.9 * Cos 65
= 81.9 * 0.4226
= 34.61
Therefore X = 34.61
The correct answer is first option