Question

Find the value of x to the nearest degree.
16
7
Not drawn to scale
x°

Answer 1

The value of theta to the nearest degree is 66°.

Using the given values of the opposite and adjacent sides of the right-angled triangle, we can use the trigonometric relation:

tan θ = opposite / adjacent

Substituting the given values, we get:

tanθ= 16/7

To find the value of theta, we can take the inverse tangent (or arctan) of both sides:

θ=tan ⁻¹ (16/7)

Using a calculator, we get:

θ ≈ 66.37°

Therefore, the value of theta to the nearest degree is 66°.

Answer 2

66°

Explanation:

Given the right angled triangle :

Opposite side = 16

Adjacent side = 7

Using trigonometric relation :

Tan θ = opposite / Adjacent

Tan x = (16/7)

x = tan^-1(16/7)

x = 66.37°

x = 66°