Question

Find the value of x to the nearest tenth.

Answer 1

Cos(angle) = Adjacent Leg /  Hypotenuse

cos(35) = 9 / x

x = 9 / cos(35)

x = 10.99

Rounded to nearest tenth = 11.0

Answer 2

Answer:

The value of x is 11.

Step-by-step explanation:

From the figure it is clear that the given triangle is a right angled triangle. The  length of hypotenuse is x units , an angle 35° and adjacent side is 9 units.

Using trigonometric ratios, in a right angled triangle,

$\cos \theta = \frac{adjacent}{hypotenuse}$

Substitute θ=35, adjacent = 9, hypotenuse =x in the above equation.

$\cos 35=\frac{9}{x}$

$0.819=\frac{9}{x}$

Multiply both sides by x.

$0.819x=9$

Divide both sides by 0.819.

$x=\frac{9}{0.819}$

$x=10.989\approx 11$

Therefore the value of x is 11.