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
If x is the distance of P from the bottom of the pillar, then consider the following statements :
1. x can take two values which are in the ratio 1 : 3
2. x can be equal to the height of the flagstaff
Which of the statements given above is/are correct?
What is a possible value of tan θ ?
A vertical tower standing on a levelled field is mounted with a vertical flag staff of length 3 m. From a point on the field, the angles of elevation of the bottom and tip of the flag staff are 30° and 45° respectively. Which one of the following gives the best approximation to the height of the tower?
Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15° with the horizontal. The distance between the poles is approximately equal to
The angle of elevation of the top of a tower from a point 20 m away from its base is 45 °. What is the height of the tower?
