Question

A string attached to an airborne kite is maintained at an angle of 41 degrees with the horizontal. If a total of 152 m of string is reeled in while bringing the kite back to the ground, what is the horizontal displacement of the kite in the process

Answer 1

The horizontal displacement is
`Adj = 114.71 \ m`

Step-by-step explanation:

From the question we are told that

The angle at which the string is maintained is
`\theta = 41 ^o`

The length of string reeled in is
`l = 152 \ m`

Using the SOHCAHTOA formula

We have that the hypotenuse(Hyp) is l = 152

Hence the horizontal displacement of the kite which is the Adjacent(Adj) can be evaluated as

`cos \theta = (Adj)/(Hyp )`

substituting values

`cos(41) = (Adj)/(152)`

=>
`Adj = 114.71 \ m`