Question

Pls answer and show work

Answer 1

Explanation:

always remember Pythagoras for right-angled triangles (90°) :

c² = a² + b²

c is the Hypotenuse (the baseline opposite of the 90° angle), a and b are the legs.

so, in our case

ramp² = 11² + 60² = 121 + 3600 = 3721

ramp = sqrt(3721) = 61 ft

Answer 2

61 feet

Explanation:

Because the triangle is a right triangle we can use the Pythagorean theorem to solve for the length of the ramp.

The Pythagorean theorem is a² + b² = c²

Where, a and b = leg lengths and c = hypotenuse (longest side)

Here, the length of the ramp represents the hypotenuse as it is the longest side. We are also given the length of the legs. The lengths being 60 ft and 11 ft.

This means that a and b = 11 and 60

We can plug these lengths in and then solve for c or the length of the ramp

a² + b² = c²

==> plug in a = 11 and b = 60

11² + 60² = c²

==> simplify exponents

121 + 3600 = c²

==> add 121 and 3600

3721 = c²

==> take the square root of both sides

61 = c

So the length of the ramp is 61 feet