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The diagonal braces in a lookout tower are 15 ft long and span a horizontal distance of 12 ft. How high does each brace reach vertically?CAN'T COPY THE IMAGE

Elliott Street is $24 \mathrm{ft}$ wide when it ends at Main Street in Brattleboro, Vermont. A 40 -ft long diagonal crosswalk allows pedestrians to cross Main Street to or from either corner of Elliott Street (see the figure). Determine the width of Main Street.CAN'T COPY THE IMAGE

Archaeologists have discovered that the 18 th-century garden of the Charles Carroll House in Annapolis, Maryland, was a right triangle. One leg of the triangle was formed by a 400 -ft long sea wall. The hypotenuse of the triangle was $200 \mathrm{ft}$ longer than the other leg. What were the dimensions of the garden?CAN'T COPY THE IMAGE

A wire is stretched from the ground to the top of an antenna tower. The wire is $20 \mathrm{ft}$ long. The height of the tower is 4 ft greater than the distance $d$ from the tower's base to the bottom of the wire. Find the distance $d$ and the height of the tower.CAM'T COPY THE IMAGE

In order to build a deck at a right angle to their house, Lucinda and Felipe place a stake in the ground a precise distance from the back wall of their house. This stake will combine with two marks on the house to form a right triangle. From a course in geometry, Lucinda remembers that there are three consecutive integers that can work as sides of a right triangle. Find the sides of that triangle.CAN'T COPY THE IMAGE

An architect has allocated a rectangular space of $264 \mathrm{ft}^{2}$ for a square dining room and a $10-$ ft wide kitchen, as shown in the figure. Find the dimensions of each room.CAN'T COPY THE IMAGE