HARD
10th CBSE
IMPORTANT
Earn 100

From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building.          Take3=1.73 

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>EXERCISE>Q 17
From a window 15 m high above the ground, in a street the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 30° and 45° respectively. Show that the height of the opposite house is 23.66 m.     Take 3=1.73
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 17
From a window, 60 m high above the ground, in a house in a street, the angles of elevation and depression of the top and foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1 + √3) metres.
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 18
As observed from the top of a lighthouse, 100 m above sea-level, the angle of depression of ship, sailing directly towards it, changes from 30° to 60°. Determine the distance travelled by the during the period of observation.    Use 3=1.73
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 19
From the top of building 60 m high, the angle of depression of the top and bottom of a tower are observed to be 30° and 60°. If the height of the tower is h m, then find the value of h.
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 20
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and45° respectively. If the height of the tower is 50 metres, find the distance between the two men.
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 21
The angle of elevation of the top of a hill from the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If the tower is 50 m high, what is the height of the hill?
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 22
A tower subtends an angle at a point A in the plane of its base and the angle α of depression of the foot of the tower at a point h metres high above A is β. Prove that the height of the tower is h tanα cotβ. 
HARD
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 9 - Some Applications of Trigonometry>EXERCISE>Q 23

A straight highway leads to the foot of the tower of height 50 m. From the top of the tower, the angles of depression of two cars standing on the highway are 30° and 60° respectively. What is the distance between two cars and how far is each car from the tower?