30. When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower? | |
A. 60.6 m | B. 140 m |
C. 35 m | D. 20.2 m |
Answer: Option A
Explanation:
Given that BC = 70 m,
From the right
From the right
$\sqrt{3} = \dfrac{\text{h}}{35}\\\Rightarrow \text{h} = 35\sqrt{3} = 35 × 1.73 \\= 60.55 \approx 60.6$
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When the sun s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?
Explanation:
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A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = √2−1)When the sun's altitude changes from 30∘ to 60∘, the length of the shadow of a tower decreases by 70 m. What is the height of the tower?
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