A Man Is Flying in a Hot-Air Balloon in a Straight

question 69

Short Answer

A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second, while keeping it at a constant altitude. As he approaches the parking lot of a market, he notices that the angle of depression from his balloon to a friend's car in the parking lot is 36°. A minute and a half later, after flying directly over this friend's car, he looks back to see his friend getting into the car and observes the angle of depression to be 37°. At that time, what is the distance between him and his friend? (Give your answer to the nearest foot.)
Distance = __________ ft

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Definitions:

Annuity Contract

A financial product sold by insurance companies that guarantees a series of payments in exchange for an initial investment, aimed at securing retirement income.

Taxable Amount

The portion of income or transaction value that is subject to taxation by governmental authorities.

Qualified Pension Plan

A retirement plan meeting IRS requirements, offering tax advantages such as deferred taxation on earnings and contributions.

Simplified Method

An IRS-approved strategy for calculating the taxable portion of annuity payments, primarily used to simplify tax reporting.