A Fence $10 \mathrm { ft }$ Tall Runs Parallel to a Tall Building at a Distance

question 128

Short Answer

A fence $10 \mathrm { ft }$ tall runs parallel to a tall building at a distance of $5 \mathrm { ft }$ from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building? Round the result to the nearest hundredth.

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Definitions:

Social Security Taxes

Taxes levied on both employers and employees to fund the Social Security program, which provides benefits to retirees, disabled individuals, and survivors.

Piecewise Function

A Piecewise Function is defined by different expressions for different intervals of the domain, often used to describe systems that behave differently under various conditions.

Taxable Income

The amount of an individual's or a company's income used to determine how much tax is owed, after deductions and exemptions.

Social Security Tax Rate

The rate at which income is taxed to fund the Social Security program, which provides retirement, disability, and survivorship benefits.