Question

Brain enjoys hang gliding on his last flight, he jumped off a cliff 520 high he landed 450 from the base of the cliff how far did brain travel?

Answer 1

Brain travelled 687.68 from the cliff.

Explanation:

Given that:

Height of the cliff = 520

Base of the cliff = 450

The distance will form the hypotenuse of right angled triangle.

Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.

Using pythagorean theorem;

a = 520, b=450, c = hypotenuse

`a^2+b^2=c^2\\(520)^2+(450)^2=c^2\\270400+202500=c^2\\472900=c^2\\c^2=472900`

Taking square root on both sides

`√(c^2)=√(472900)\\c=687.68`

Hence,

Brain travelled 687.68 from the cliff.