Question

Need help with this trigonometry word problem

A kite is flying at a height of 65 m attached to a string. If the inclination of the string with the ground is 31°, find the length of string.
Show your work please

Answer 1

127.45 m

Explanation:

Given :-

• Height of kite = 65 m .
• Inclination of string = 31° .

To Find :-

• The length of the string .

Solution :-

Here we need to find out the length of the string here if we imagine a right angle triangle in which the height of the kite will be the perpendicular of the triangle and the length of the string will be the hypotenuse of triangle .

And the angle between the the string and the ground will be 31°.

Here we can use ratio of sine as ,

> sin∅ = p/h

> sin 31° = 65m/ h

> h = 65m/sin 31°

> h = 65m/0.51

> h = 127 .45 m

Answer 2

let KL be the string PL be perpendicular distance between them. and KL be height of kite flying.

in right angled triangle

relationship between perpendicular and hypotenuse is given by sin angle

sin 31°=p/h

h=65/sin31

KP=126.2m

the length of string is 126.2m