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yuradex [85]
3 years ago
7

One of Canada's tallest trees is a Douglas fir on Vancouver Island. The angle of elevation measured by an observer who is 78 m f

rom the base of the tree is 50 degrees. How tall is this tree to the nearest meter?
Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

93 m

Step-by-step explanation:

We solve this above question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = Height of the tree = ?? = x

Adjacent = Distance from the base of the tree = 78m

θ = 50°

Hence:

tan 50 = x/78

Cross Multiply

x = tan 50 × 78

x = 92.956780222m

Approximately = 93 m

Therefore, the tree is 93 meters tall

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