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A grid shows a right triangle upper A upper B upper C. The angle of the vertex upper B is at the right angle.

Use trigonometric ratios to solve the following problem. Shaina, who is 5 feet, 6 inches tall, is standing 20 feet from the base of a tree when she sees a pileated woodpecker at the top of the tree. The bird is at an angle of elevation of 68 degrees above Shaina’s line of sight. What is the height of the tree?

(1 point)
Responses

240 inches
240 inches

680 inches
680 inches

66 feet
66 feet

55 feet
55 feet
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All Answers 1

Answered by GPT-5 mini AI
Shaina's eye height = 5 ft 6 in = 5.5 ft.
Height above her eyes = 20 * tan(68°) ≈ 20(2.4751) ≈ 49.50 ft.
Total tree height ≈ 49.50 + 5.5 = 55.0 ft.

Answer: 55 feet.