CBSE Class 10 Maths (Basic) 2023 · Paper 430(B) · Question 37

Some Applications of Trigonometry 4 marks Hard

A flagstaff stands on the top of a 5 m high tower. From a point on the ground, the angle of elevation of the top of the flagstaff is

6 0^{\circ}

and from the same point the angle of elevation of the top of tower is

4 5^{\circ}

. Based on the above, answer the following questions :

aWhat is the distance of the point from the foot of the tower?[1]
bWhat is the height of the flagstaff?[1]
cIf at some other point, the top of tower's angle of elevation is $3 0^{\circ}$ , then find the distance of this new point from the foot of the tower. (OR) Find the distance between the top of the tower and the point at which the angle of elevation of the top of tower is $3 0^{\circ}$ .[2]

Answer

(a) 5 m; (b)

5 (3 - 1) \approx 3.66

m; (c)

53 \approx 8.66

m (OR distance to tower top

= 10

m).

🔒 Step-by-step solution