MEDIUM
10th CBSE
IMPORTANT
Earn 100

The angles of depression of the top and the bottom of a building 50 m high as observed from the top of a tower are 30° and 60° respectively. Find the height of the tower and also the horizontal distance between the building and the tower.

Important Questions on Some Applications of Trigonometry

HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 6
From a window x metres high above the ground in a street, the angles of elevation and depression of the top and foot of the other house on the opposite side of the street are α and β respectively. Show that the height of the opposite house is x(1+tanα cotβ) metres.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 7
A man standing on the deck of a ship which is 10 m above water-level, observes the angle of elevation of the top of a hill as 60° and the angle of depression of the base of the hill as 30°. Calculate the distance of the hill from the ship and the height of the hill.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 8
If the angles of depression of the top and bottom of a tower, as seen from the top of a 100 m high cliff are 30° and 60° respectively. Find the height of the tower.
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 9
From an aeroplane vertically above a straight horizontal plane, the angles of depression of two consecutive kilometre stone on the opposite sides of the aeroplane are found to be α and β. Find the height of the aeroplane (in km) if α and β, both are at 45°.
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 10

The angle of elevation and depression of the top and bottom of a lighthouse from the top of a building 60 m are 30° and 60° respectively. Find:

i) The difference between the heights of the lighthouse and the building.

ii) Distance between the lighthouse and the building,

HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>CHAPTER TEST>Q 11
From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and foot of the opposite house in the street are θ and ϕ respectively. Show that the height of the opposite house is h(1+tanθ cotϕ) metres