The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A 9.5 feet pole casts a shadow that is 29 feet long.
Perpendicular = 9.5 feet
Base = 29 feet
The angle is given by the tangent. The tangent is given as
[tex]\rm tan \ \theta = \dfrac{Perpendicular }{Base}[/tex]
Then we have
[tex]\rm tan \ \theta = \dfrac{9.5}{29}\\\\tan \ \theta = 0.3276\\\\\theta \ \ \ \ \ = tan ^{-1} 0.3276\\\\\theta \ \ \ \ \ = 18.14^o \ or \ 0.32 \ rad[/tex]
The measure of angle ∠L is 18.14° or 0.32 radians. Then the correct option A.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Answer:
A on Edge
Aka 0.32 rad
Step-by-step explanation:
Next one is:
Solve the equation where the sine of 30 degrees is equal to YZ/50.Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Zto write and solve an equation.Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.
