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A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a point on the plane the angles of elevation of the bottom and top of the flagstaff are 0 and 20 respectively. What is the height of the tower ?
hcosθ
hsinθ
hcos2θ
hsin2θ
- The tower and flagstaff form a single vertical structure on a horizontal plane.
- The angle of elevation of the bottom of the flagstaff is 0°, meaning the observer is directly in line horizontally with the bottom of the flagstaff.
- The angle of elevation of the top of the flagstaff is 20°.
- Given the scenario, trigonometric identities are used to determine the height of the tower.
- h cos(2?): This represents the height as the horizontal component relative to the angle achieved when the tower and flagstaff are considered from the point of observation.
- h sin(2?): This would represent height based on a hypothetical 2? angle, irrelevant in the context.
- h cos ? and h sin ? are not directly relevant to the given scenario based on angles provided.
The correct answer is option 3: h cos(2?)
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