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Trigonometric ldentities and Equations Test - 105

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Trigonometric ldentities and Equations Test - 105
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  • Question 1
    4 / -1
    Angles of elevation of the top of a tower from three points (collinear)A, B and C on a road leading to the foot of the tower are 30o, 45o and 60o respectively. The ratio of AR to BC is
    Solution

  • Question 2
    4 / -1
    The angular elevation of a tower CD at a point A due south of it is 60o and at a point B due west of A, the elevation is 30o. If AB = 3km, the height of the tower is
    Solution

  • Question 3
    4 / -1
    20 metre high flag pole is fixed on a 80 metres high pillar, 50 metres away from it, on a point on the base of pillar the flag pole makes an angle α, then the value of tanα, is
    Solution

  • Question 4
    4 / -1
    Two men are on the opposite side of a tower. They measure the angles of elevation of the top of the tower 45o and 30o respectively. If the height of the tower is 40 m, find the distance between the men
    Solution

  • Question 5
    4 / -1
    The angles of elevation of the top of a tower (A) from the top (B) and bottom (D) at a building of height a are 30o and 45o respectively. If the tower and the building stand at the same level, then the height of the tower is
    Solution

  • Question 6
    4 / -1
    A ladder 5 metre long leans against a vertical wall. The bottom of the ladder is 3 metre from the wall. If the bottom of the ladder is pulled 1 metre farther from the wall, how much does the top of the ladder slide down the wall
    Solution

  • Question 7
    4 / -1
    The angle of elevation of the top of a pillar at any point A on the ground is On walking 40 metres towards the pillar, the angle become 30o. The height of the pillar is
    Solution

  • Question 8
    4 / -1
    The top of a hill observed from the top and bottom of a building of height h is at the angle of elevation p and q respectively. The height of the hill is
    Solution

  • Question 9
    4 / -1
    The shadow of a tower standing on a level ground is x metre long when the sun’s altitude is 300, while it is y metre long when the altitude is 60°. If the height of the tower is 45 √3/2 metre, then x — y is
    Solution

  • Question 10
    4 / -1
    If the angle of elevation of the top of tower at a distance 500 m from its foot is 30o, then the height of the tower is
    Solution

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