InterviewSolution
Saved Bookmarks
| 1. |
A kite is flying at the height of 75m from the ground. The string makes an angle θ (where cotθ =8/15) with the level ground. Assuming that there is no slack in the string, the length of the string is equal to:1). 75m2). 85m3). 40m4). 65m |
|
Answer» Solution; Given: Height, h = 75M which is the OPPOSITE side. θ is the angle subtended by the string with the ground level and, Length of the string = ? (This is the hypotenuse of the triangle). It's also given that, cotθ = 8/15 We know that, cotθ = opposite side / adjacent side So, adjacent side /opposite side = 8/15 adjacent side/75= 8/15 Adjacent side = (75×8)/15= 600/15= 40 Now, we know that Hypotenuse² = (opposite side)² + (adjacent side)² So, Hypotenuse ² = 75² + (40)² Hypotenuse ² =5625 + 1600 Hypotenuse ² = 7225 Hypotenuse = 85m The length of the string is 85m. So, the correct option is 2).85m |
|