.7 I SOLVING APPLICATIONS 357 32. Reach ofa Ladder. Twyla has a 26-ft ladder lea
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.7 I SOLVING APPLICATIONS 357 32. Reach ofa Ladder. Twyla has a 26-ft ladder leaning If the guy wire is anchored 15 m from the foot of the antenna, how tall is the antenna? against her house. If the bottom of the ladder is 10 ft from the base of the house, how high does the ladder reach? 33. Zipline. On one zipline in a canopy tour in Costa Rica, riders drop 58 ft while covering a distance of 840 ft along the ground. How long is the zipline? 34. Roaduay Design. Eillott Street is 24 ft wide when it ends at Main Street in Brattleboro, Vermont. A 40-ft long diagonal crosswalk allows pedestrians to cross Main Street Street (see the figure). Determine the width of Main Street to or from either corner of Elliott 37. Right Triangle. The shortest side of a right triangle measures 7 m. The lengths of the other two sides are consecutive integers. Find the lengths of the other two sides Ellio Street 38. Right Triangle. The shortest side of a right triangle measures 8 cm. The lengths of the other two sides are consecutive odd integers. Find the lengths of the other two sides. Main Street 39. Right Triangle. The longest side of a right triangle is 1 ft longer than three times the length of the shortest side. The other side of the triangle is 1 ft shorter than three times the length of the shortest side. Find the lengths of the sides of the triangle. 35. Archaeology. Archaeologists have discovered that the 18th-century garden of the Charles Carroll 40. Right Triangle. The longest side of a right triangle is House in Annapolis, Maryland, was a right triangle. One leg of the triangle was formed by a 400-ft sea wall. The hypotenuse of the triangle was 200 ft longer than the other leg. What were the dimen- sions of the garden? Source: www.bsos.umd.edu 5 yd shorter than slx times the length of the shortest side. The other side of the trlangle is 5 yd longer than five times the length of the shortest side. Find the lengths of the sides of the triangle. Applications 41. Architecture. An architect has allocated a rectan- gular space of 264 ? for a square dining room and a 10-ft wide kitchen, as shown in the figure. Find the dimensions of each room. 200 DINING ROOM 400 ft 36. Guy Wire. The height of a wind power assessment ower is 5 m shorter than the guy wire that supports it.Explanation / Answer
Using pythagorus theorem
x^2 = (x-5)^^2 + 15^2
x^2 = x^2 - 10x + 25 +225
10x = 250
x = 25
Height of pole = x - 5 = 20 ft
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