Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
1 answer:
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
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<em>Additional comment</em>
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
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Answer:
The width and the length of the pool are 12 ft and 24 ft respectively.
Step-by-step explanation:
The length (L) of the rectangular swimming pool is twice its wide (W):
Also, the area of the walkway of 2 feet wide is 448:
Where 1 is for the swimming pool (lower rectangle) and 2 is for the walkway more the pool (bigger rectangle).
The total area is related to the pool area and the walkway area as follows:
(1)
The area of the pool is given by:
(2)
And the area of the walkway is:
(3)
Where the length of the bigger rectangle is related to the lower rectangle as follows:
(4)
By entering equations (4), (3), and (2) into equation (1) we have:
By solving the above quadratic equation we have:
W₁ = 12 ft
Hence, the width of the pool is 12 feet, and the length is:
Therefore, the width and the length of the pool are 12 ft and 24 ft respectively.
I hope it helps you!