Questions tagged 'Height and Distance'

• Two men are on the opposite side of a tower. They measure the angles of elevation of the top of the tower 45° and 30° respectively. If the height of the tower is 40 m, find the distance between the men
  Category: trigonometry | Tags: Height and Distance
• 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 30° and 45° respectively. If the tower and the building stand at the same level, then the height of the tower is
  Category: trigonometry | Tags: Height and Distance
• 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
  Category: trigonometry | Tags: Height and Distance
• The angle of elevation of the top of a pillar at any point A on the ground is 15°. On walking 40 metres towards the pillar, the angle become 30°. The height of the pillar is
  Category: trigonometry | Tags: Height and Distance
• 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 hills is
  Category: trigonometry | Tags: Height and Distance
• The shadow of a tower standing on a level ground is found to be 60 m longer when the sun's altitude is 30° than when it is 45°. The height of the tower is
  Category: trigonometry | Tags: Height and Distance
• If the angle of elevation of the top of tower at a distance 500 m from its foot is 30°, then height of the tower is
  Category: trigonometry | Tags: Height and Distance
• For a man, the angle of elevation of the highest point of the temple situated east of him is 60°. On walking 240 metres to north, the angle of elevation is reduced to 30°, then the height of the temple is
  Category: trigonometry | Tags: Height and Distance
• 20 metre high flag pole is fixed on a 80 metre high pillar, 50 metre away from it, on a point on the base of pillar the flag pole makes and angle $\alpha $, then the value of $\tan \alpha $, is
  Category: trigonometry | Tags: Height and Distance
• A tower subtends angles $\alpha ,\,2\alpha ,\,3\alpha $respectively at points A, B and $C$, all lying on a horizontal line through the foot of the tower. Then $AB/BC=$
  Category: trigonometry | Tags: Height and Distance

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