Jose has a policy with $50,000 PIP (Personal Injury Protection) coverage. He causes an accident in which he hurts 10 people, including himself. All of the injuries are minor
(Less than $10,000 each). The total cost of injuries was $72,000. How much will
insurance pay in PIP coverage?

$7200

Step-by-step explanation:

Given

The policy covers the damage of $50,000 PIP

He injured 10 people including himself

The total cost of injuries is $72,000

The cost per person is $7200

The company only pays for the damaged bear by the policyholder, not by the others.

the company only pays $7200 in coverage.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584