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



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