Question

What is the measure of angle x , rounded to the nearest hundredth?

Answer 1

Choice A is the correct.

Explanation:

We have given the triangle.

We have to the angle x shown in the figure.

As it is a right angled triangle so the base and perpendicular are given.

As we know that tanФ= perpendicular/base

Putting the values in the formula we get,

tan x= 4/9

x = tan⁻¹(4/9)

x = tan⁻¹ (0.4444)

x = 23.96⁰ is the angle.

Answer 2

The correct answer is option 1

23.96°

Explanation:

Tan ∅ = Opposite side/Adjacent side

From the given figure we can see that it is a right angled triangle.

To find the value of x

Tan ∅ = Opposite side/Adjacent side

Opposite side = 4

Adjacent side = 9

Tan x = 4/9 = 0.4444

x = tan⁻¹ (0.4444) = 23.9624 ≈ 23.96°

Therefore the correct answer is first option.

23.96°