The length of shadow of a vertical pole standing on the ground with the angle of elevation 30° at the sun is 40 m more than when it is 60°. Find the height of the sun
Answers
The height of the sun is AB = 20√ 3
Step-by-step explanation:
Tan (60°) = AB / x ---(1)
In triangle ABC
Tan(30°) = AB / x + DC ----(2)
From equation (1) and (2).
x tan(60°) = tan (30°) [x + 40]
√ 3 x = 1/√3 (x + 40)
3x = x + 40
x = 20
AB = 20√ 3
Hence the height of the sun is AB = 20√ 3
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A ball is projected vertically upward with a speed of 50 m/s. Find (a) the maximum height, (b) the time to reach the maximum height, (c) the speed at half the maximum height. Take g= 10 m/s²?
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Answer:
The height of the sun is AB = 20√ 3
Step-by-step explanation:
Tan (60°) = AB / x ---(1)
In triangle ABC
Tan(30°) = AB / x + DC ----(2)
From equation (1) and (2).
x tan(60°) = tan (30°) [x + 40]
√ 3 x = 1/√3 (x + 40)
3x = x + 40
x = 20
AB = 20√ 3
Hence the height of the sun is AB = 20√ 3
Step-by-step explanation:
Hope this answer will help you.✌️