Height and Distance Questions and Answers for Competitive Exams

Height and Distance Questions and Answers for SSC and Bank Exams:

Q.31. There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30⁰ and 60⁰ respectively. The length of the temple is;

(A) 18 m

(B) 36 m

(C) 36√3 m

(D) 18√3 m

Q.32.A man is standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a light house as 60⁰ and the angle of depression of the base of lighthouse as 30⁰. Find the height of the light house.

(A) 30m

(B) 40m

(C) 45m

(D) 38m

Q.33. A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank is 45⁰. When he moves 20m away from the bank, he finds the angle of elevation to be 30⁰. Find the height of the tree.

(A) 10(√3 + 1)m

(B) 15√3 m

(C) 200(√3 + 1)m

(D) 10(√3 - 1)m

Q.34. From the top of a building 60m high, the angle of elevation and depression of the top and the foot of another building are α and β respectively. Find the height of the second building.

(A) 60(1+ tan α tanβ)

(B) 60(1+ cot α tanβ)

(C) 60(1+ tan α cotβ)

(D) 60(1- tan αcotβ)

Q.35.From the top of a tower 75m high, the angles of depression of the top and bottom of a pole standing on the same plane as the tower are observed to be 30⁰ and 45⁰ respectively. Find the height of the pole.

(A) 30.4m

(B) 35.9m

(C) 28.6m

(D) 31.7m

Q.36.A 10 m long flagstaff is fixed on the top of a tower on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 60⁰ and 45⁰ respectively. Find the height of the tower.

(A) 5(√3 + 1)m

(B) 5(√3 + 3)m

(C) 10(√3 - 1)m

(D) 10(√3 + 1)m

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