Applications of trigonometry IB / CBSE/ ICSE- skill builder practice questions

1. A tower is meters high. Find the angle of elevation if its top from a point 100 meters away from its foot.

Solution: 60 degree

2. The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower is 30 degrees. Find the height of the tower.

Solution:  meters

3. A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60 degrees. Find the length of the string assuming that there is no slack in the string.

Solution:  m

4. The string of a kite is 100meters long and it makes an angle of 60 degrees with the horizontal. Find the height of the kite assuming that there is no slack in the string.

Solution: 86.60 m

5. A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied at the ground. The height of the pole is 12m and the angle made by the rope with ground level is 30 degrees. Calculate the distance covered by the artist in climbing to the top of the pole.

Solution: 24m

6. A circus artist is climbing a 20m long rope which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is 30 degrees. 

Solution: 10m

From: Mathematics, by R D Sharma