Question

A kite at the end of a 40 feet line is10 feet behind the runner. How high is the kite?

Answer 1

Answer:

Step-by-step explanation:

ANSWER:-

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• Here the hypotenuse is 40 feet as the kite is behind the runner.
• Also  10 feet line is behind the runner.
• We need to find the height of the kite.

Pythagoras Theorem:-

$\sf{Hypotenuse ^2 = Base^2+Height^2}$

$\sf{(40)^2 = Height^2+ (10)^2}$

1600 = Height^2 +100

Height^2 = 1500

Height = 38.72 feet (approximately)

What this says?

• The sum of squares of base and height of a right angle triangle is equal to the square of the hypotenuse of the same triangle.

Answer 2

Answer:

=> 38.72 ≈ 38.70 feet

Step-by-step explanation:

Let AB is the height of kite

Using Pythagoras theorem

=> AC² = BC² + AB²

Put the value

=> 40² = AB² + 10²

=> 1600 = AB² + 100

=> 1600-100 =AB²

=> 1500 = AB²

=> AB = √1500

=> AB = 38.72 ≈ 38.70 Feet