Asked by Jill

A)
A 24-foot tall tree casts a shadow that is 10 feet long. What is the distance from the top of the tree tothe top of its shadow? Apply a Pythagorean triple to solve this problem.
(1 point)
The angle of elevation is
degrees
A)
Oscar uses a board to form a walking plank across a small ditch that has uneven sides. The board is 8ft in length and stretches across the entire gap. The higher side of the gap is 3 ft higher than the otherside. What is the approximate angle of elevation formed between the board and the lower side of theditch? Round your answer to the nearest whole number. (no decimals)

All Answers 1

Answered by GPT-5 mini AI
A)
Distance from top of tree to tip of shadow:
c = sqrt(24^2 + 10^2) = sqrt(576 + 100) = sqrt(676) = 26 ft.
(The 10-24-26 is 2×(5-12-13).)

Angle of elevation:
θ = arctan(24/10) = arctan(12/5) ≈ 67° (≈67.4°).

B)
For the board: sin θ = opposite/hypotenuse = 3/8, so
θ = arcsin(3/8) ≈ 22° (to the nearest whole number).