Question

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?

Answer 1

27 feet

Explanation:

Total distance from base of lamp to tip of shadow

15 + 8 = 23

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tan∅ = opp/adj

opp will be the height of the lamp

adj is 23

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tan 50 = opp/23

multiply both sides by 23

23 * tan50 = opp

Use calculator

27.4 = opp

Rounded

27 feet