Question

A toy airplane climbs 30 vertical feet while traveling 50 feet horizontally. A toy helicopter climbs 20 feet while traveling 40 feet horizontally. Assuming a steady rate of change, which toy traveled at a greater slope?

Answer 1

The Slop of airplane is greater than slop of helicopter

Explanation:

Given as

Vertical height of toy airplane = 30 feet

The horizontal distance is 50 feet

Let, The slop of toy airplane is H

Now by Pythagoras theorem

H ² = P² + B²

Or, H² = 30² + 50² = 900 + 2500

Or, H² = 3400 feet

SO, Slop = H =√3400 = 58.30 feet

Again

Vertical height of toy helicopter = 20 feet

The horizontal distance is 40 feet

Let, The slop of toy helicopter is h

Now by Pythagoras theorem

H ² = P² + B²

Or, h² = 20² + 40² = 400 + 1600

Or, h² = 2000 feet

SO, Slop = h =√2000 = 44.72 feet

Since
`H> h`

Hence The Slop of airplane is greater than slop of helicopter Answer