Your answer is correct
1 answer:
You might be interested in
Answer: 92.67
Step-by-step explanation:
In the Screen Shot is the answer
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
<h3>What are the correct elevation measurements?</h3>
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
Read more about elevations at; brainly.com/question/10254887
