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

Answer:
The correct answer is option 1
23.96°
Step-by-step 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°
Answer:
Choice A is the correct.
Step-by-step 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.