A pole stands vertically on the ground with the help of a 12-metre steel wire tied to its top and affixed on the ground. If the steel wire makes an angle of 30º with the horizontal ground, then the height of the pole is equal to:
6 meters
Given:
A pole stands straight on the ground and a 12-meter long steel wire is tied to its top. The steel wire makes an angle of 30º with the horizontal ground.
Used formula:
In a right-angled triangle, height (h) = hypotenuse (H) × sin (angle)
Calculation:
Height of the pole (h) = 12 × sin(30º)
⇒ h = 12 × 1/2
⇒ h = 6 meters
∴ The correct answer is option (1).
Important Questions from Heights and Distances
Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the ships are 45 ° and 60° respectively. If the lighthouse is 81 m high, then the distance between two ships is:
The horizontal distance between two towers is 40√3 m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 130 m, find the height of the first tower.
The angle of elevation of a ladder leaning against a house is 60° and the foot of the ladder is 6.5 metres from the house. The length of the ladder is
A kite is flying at a height of 50 m. If the length of the string is 100 m then the inclination of the string to the horizontal ground in degree measures is:
A. 90
B. 45
C. 60
D. 30
Two poles of the height 15 m and 20 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
A. 11 m
B. 12 m
C. 13 m
D. 14 m
