KSEEB Solutions for Class 10 Maths Chapter 12 Some Applications of Trigonometry Additional Questions

KSEEB Solutions for Class 10 Maths Chapter 12 Some Applications of Trigonometry Additional Questions

Karnataka State Syllabus Class 10 Maths Chapter 12 Some Applications of Trigonometry Additional Questions

I. Multiple Choice Questions:

Question 1.
The angle of elevation of the top of a tower from a point at a distance of 100 m from the base of the tower is found to be 45° then height of the tower is
a. 50 m
b. 100m
c. 50√2 m
d. 50√2 m
Answer:
b. 100m

Question 2.
Find the angle of elevation of the top of a tower, whose height is 100 m, at a point whose distance from the base of the tower is 100 m.
a. 30°
b. 60°
c. 45°
d. 90°
Answer:
c. 45°

Question 2.
From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of a tower is 30° the angle of elevation of the top of water tank on top of the tower is 45°. Find
(i) height of the tower
(ii) depth of the tank
Answer:

Question 6.
From the top of a building 16 m high, the angular elevation of the top of a hill is 60° and the angular depression of the foot of the hill is 30°. Find the height of the hill.
Answer:

Question 7.
Two windmills of height 50 m and 40 m are on either side of the field. A person observes the top of the windmills from a point in between the towers. The angle of elevation was found to be 45° in both the cases. Find the distance between the windmills.
Answer:

Let AB be a tower of height = 50 m
CD be another tower of height = 40 m
The observer is at P and angle of elevation.

PD = 40 m
∴ BD = BP + PD = 50 + 40 = 90 m
∴ The distance between the wind mills on either side of field is 90 m.