Answer :
Answer:
option 3
Step-by-step explanation:
given the side opposite and the side adjacent to angle x , then
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{4}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{4}[/tex] ) ≈ 66° ( to the nearest degree )
Final answer:
The measure of angle x in the right triangle is 66 degrees.
Explanation:
In a right triangle, the side adjacent to angle x is 4 units and the side opposite that angle is 9 units.
To find the measure of angle x, we can use the tangent function. Tangent is the ratio of the opposite side to the adjacent side, so we have: tan(x) = opp/adj = 9/4. Taking the inverse tangent (arctan) of both sides, we get: x = arctan(9/4).
Using a calculator, the measure of angle x is approximately 66 degrees. Therefore, the answer is 3) 66 degrees.
