Dr. black is standing 15 feet from a streetlamp. the lamp is making his shadow 8 feet long. he estimates the angle of elevation
from the tip of his shadow to the top of the streetlamp is 50 degrees. to the nearest foot how tall is the streetlamp?
1 answer:
Answer:
27 feet
Step-by-step explanation:
Total distance from base of lamp to tip of shadow
15 + 8 = 23
-------------------------
tan∅ = opp/adj
opp will be the height of the lamp
adj is 23
--------------------------
tan 50 = opp/23
multiply both sides by 23
23 * tan50 = opp
Use calculator
27.4 = opp
Rounded
27 feet
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