Can someone like help
1 answer:
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Answer:
130°
Step-by-step explanation:
In the picture attached, the rectangle can be seen.
We know that m∠BAC = 50°, then m∠ADB is also 50°. m∠AOE must be 180° - 90° - 50° = 40°, and m∠OAD = 90° - 50° = 40°, then m∠DOA = 180° - 40° - 50° = 90°. Finally m∠EOD = m∠DOA + m∠AOE = 90° + 40° = 130°
Answer:
The height of the tree is 14.85 m
Step-by-step explanation:
The length of the shadow cast by the tree = 25 m
The length of the shadow cast by the signpost = 6 m
The height of the signpost = 3.5 m
Therefore, by similar triangles, we have;
Let θ, represent the angle formed by the line extending a line from the tip of the shadow, to the tip of the object and let x represent the height of the tree, we have
Tan(θ) = Opposite/Adjacent = Height of the object/(The length of the shadow)
∴ Tan(θ) = 3.5/6 = x/25
x = 25 × 3.5/6 = 14.58
The height of the tree = x = 14.85 m