MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

Answer:The Slop of airplane is greater than slop of helicopterStep-by-step explanation:Given as Vertical height of toy airplane = 30 feetThe horizontal distance is 50 feet Let, The slop of toy airplane is H Now by Pythagoras theorem H ² = P² + B²Or, H² = 30² + 50² = 900 + 2500Or, H² = 3400 feetSO, Slop = H =√3400 = 58.30 feet Again Vertical height of toy helicopter = 20 feetThe horizontal distance is 40 feet Let, The slop of toy helicopter is h Now by Pythagoras theorem H ² = P² + B²Or, h² = 20² + 40² = 400 + 1600Or, h² = 2000 feetSO, Slop = h =√2000 = 44.72 feet Since [tex]H> h[/tex]Hence The Slop of airplane is greater than slop of helicopter Answer