If a 16 metres long rope is stretched from the ground to the top of the house such that the rope makes an angle of 30° with the ground, then find the height of the house.
Show answer & explanation
Correct answer: A
Explanation
Given:
Rope length = 16 meters
Angle with the ground = 30°
Formula:
sinθ = opposite side / hypotenuse
sin30° = height / 16
1/2 = height / 16
Height = 16 × 1/2 = 8 meters