Solve the Problem $4 \sqrt { 35 } \mathrm { ft }$

question 135

Multiple Choice

Solve the problem.
-A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 50 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 90 feet long. Leave your answer in simplified radical form.

• A) \(4 \sqrt { 35 } \mathrm { ft }\)
• B) \(10 \sqrt { 106 } \mathrm { ft }\)
• C) \(20 \sqrt { 14 } \mathrm { ft }\)
• D) \(2 \sqrt { 10 } \mathrm { ft }\)

---

Definitions:

Semiannual Coupon

Bonds that pay interest to the holder twice a year.

Accrued Interest

Interest that has been incurred but not yet paid, typically relevant in bond investments.

Annual Coupon Payment

The total interest payments made to bondholders annually, based on the bond's coupon rate and its face value.

Flat Price

The price of a bond without the inclusion of accrued interest, representing only its face value.