Question

Which measurements are correct? round side lengths to the nearest hundredth. check all that apply. m∠a = 57° m∠b = 15° c ≈ 10.89 ft h ≈ 8.09 ft h ≈ 31.28 ft

Answer 1

The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft

What are the correct elevation measurements?

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