A pole-vaulter uses 15 foot-long pole. she grips the pole so that the segment below her left hand is twice the length of the segment above her left hand. Her right hand grips the pole 1.5 feet above her left hand. How far up is her right hand?

Imagine the pole is a line segment

the line segment is 15ft long

first, find where her left hand is

the amount below her left hand is 2 times the length above

x is the amount above

2x is amount below

total is 15

x+2x=15

3x=15

x=5

2x=10

the segment below her left hand is 10ft while the segment above her left hand is 5ft

right hand is 1.5ft above left hand

how far up is the right hand

the left hand is 10ft up

the right hand is 1.5ft higher, or 10+1.5 or 11.5ft

her right hand is 11.5ft up