# Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 40. About how high is the streetlamp? (6 points)

1 answer

###### Question:

Professor Plum is standing 10 feet from a streetlamp. The light from the lamp is making his

shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the

top of the streetlamp is 40. About how high is the streetlamp? (6 points)

shadow 8 feet long. He estimates that the angle of elevation from the tip of his shadow to the

top of the streetlamp is 40. About how high is the streetlamp? (6 points)

## Answers

Answer:15.10 ftStep-by-step explanation:It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.tan (theta) = opposite side / adjacent sidetan 40 = x / 18x = 15.10 ftRead more on Brainly.com -

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