Question

A kite is flying at the end of a string 500 feet long.If the kite is directly above a point 400 feet from the end of the string,how high is the kite above the ground? Answer choices 1) 400feet 2)250 feet 3)300 feet​

Answer 1

Answer:

the correct option is 3) 300 feet

Given that

• length of the string = 500 feet (hypotenuse)
• distance on the ground = 400 feet (base)

Let us assume that the height of kite from the ground be = x feet. (height )

therefore , by using Pythagoras theorem

=> (distance on the ground)^2 + (height of the kite from the ground)^2= (length of the string)^2

=> (400)^2 + (x)^2 = (500)^2

=> (x)^2 = (500)^2 - (400)^2

=> (x)^2 = (500 - 400) ( 500 + 400 ) [ a^2 - b^2 = (a+b) (a- b)

=> (x)^2 = 100 × 900

=> (x)^2 = 90000

=> x = √90000

=> x = 300 feet

Hence the hight of the kite from the ground is 300 feet

hope it would help you

Answer 2

Step-by-step explanation:

SO THIS IS YOUR ANSWER IN THE ATTACHMENT. HOPE THIS ANSWER HELP YOU.