Trigonometry Question

Question

A kite is tethered to the top of a 6 foot pole. The string is at an angle of elevation of 60^o. If the string’s length is 750 feet, how far above the ground is the kite: Answer

ROUND TO THE NEAREST TENTH

Answer 1

750 is the hypotenuse of a right triangle.

with 60 degrees, the base of the triangle is 1/2 of 750 or 375 feet

the height of the triangle is 750/sqr3= about 750/(1.732) = about 433 feet

add 6 feet, the height of the pole to get 439 feet for the height of the kite above ground

Answer 2

Answer 3

In a 30-60 rt triangle the sides are in the ratio 2:1:√3.

In your problem then

750/2 = x/√3.

You can do the arithmetic!