Answer:
Option B and Option E are correct.
Step-by-step explanation:
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Then moves 20 ft towards the building angle of elevation becomes 48°.
Now as per figure attached
m∠A + 48° = 180°
m∠A = 180 - 48 = 132° [∠A and 48° are supplementary to each other]
m∠B + 33° + 132° = 180°
m∠B = 180 - 165° = 15°
[tex]\frac{sin33}{c}=\frac{sinB}{20}[/tex] [sine rule]
[tex]\frac{0.5446}{c}=\frac{sin15}{20}=\frac{0.2588}{20}=0.0129[/tex]
[tex]c=\frac{0.5446}{.0129}=42.22[/tex]
Now [tex]sin48=0.7431=\frac{h}{c}=\frac{h}{42.22}[/tex]
h = 0.7431×42.22 ≈ 31.28 ft
Therefore Option B and Option E are correct.
