CBSE Class 10-Mathematics: Chapter – 9 Some Applications of Trigonometry Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 4:

At the foot of a mountain the elevation of its summit is . After ascending 1000 m towards the mountain up a slope of inclination, the elevation is found to be . Find the height of the mountain.

At the Foot of a Mountain the Elevation

Answer:

In right ,

In right

In right

Question 5:

If the angles of elevation of the top of a tower from two points at distances a and b from the base and in the same straight line with it are complementary, then the height of the tower is

(a)

(b)

(c)

(d)

Answer:

(a)

Question 6:

If the height of tower is half the height of the flagstaff on it and the angle of elevation of the top of the tower as seen from a point on the ground is , then the angle of elevation of the top of the flagstaff as seen from the same point is

(a)

(b)

(c)

(d)

Answer:

(b)

Question 7:

As observed from the top of a tall lighthouse the angles of depression of two ships are . If one ship is exactly behind the other on the same side of the light house, then distance between the two ships is

(a)

(b)

(c)

(d)

Answer:

(a)

Question 8:

The angle of elevation of the top a building from the foot of the tower is and the angle of elevation of the top of the tower from the foot of the building is . If the tower is 50 m high, then the height of the building is

(a) 50

(b)

(c)

(d)

Answer: