Dr. black is standing 15 feet from a streetlamp. the lamp is making his shadow 8 feet long. he estimates the angle of elevation

Question

2 years ago

8

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:

ahrayia [7] · Answer 1 · 2022-12-28T11:47:20+03:00

Answer:

27 feet

Step-by-step 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

--------------------------

tan 50 = opp/23

multiply both sides by 23

23 * tan50 = opp

Use calculator

27.4 = opp

Rounded

27 feet