Solve each problem. Give any decimal approximations to the nearest tenth. See Example 7.502 CHAPTER 8 Roots and Radicals
25 cm
7 cm
40 m9 m60 ft100 ft96 ft72 ft75 ftTRS 180 ft30 ft24 ft71.The diagonal of a rectangle measures
25 cm. The width of the rectangle is
7 cm. Find the length of the rectangle.72.The length of a rectangle is 40 m, and
the width is 9 m. Find the measure of the
diagonal of the rectangle.73.Tyler is flying a kite on 100 ft of string.
How high is it above his hand (verti-
cally) if the horizontal distance between
Tyler and the kite is 60 ft?74.A guy wire is attached to the mast of a
shortwave transmitting antenna at a point
96 ft above ground level. If the wire is
staked to the ground 72 ft from the base
of the mast, how long is the wire?75.A surveyor measured the distances
shown in the figure. Find the distance
across the lake between points Rand S.76.A boat is being pulled toward a dock
with a rope attached at water level.
When the boat is 24 ft from the dock,
30 ft of rope is extended. What is the
height of the dock above the water?77.Following Hurricane Katrina in 2005,
thousands of pine trees in southeastern
Louisiana formed right triangles as
shown in the photo. Suppose that, for a
small such tree, the vertical distance
from the base of the broken tree to the
point of the break is 4.5 ft. The length of
the broken part is 12 ft. How far along
the ground is it from the base of the tree
to the point where the broken part
touches the ground?78.One of the authors of this text purchased
a rear-projection Toshiba 51H84 televi-
sion. A television set is “sized” accord-
ing to the diagonal measurement of the
viewing screen. The author purchased a
51-in. TV, so the TV measures 51 in.
from one corner of the viewing screen
diagonally to the other corner. The view-
ing screen is 44.5 in. wide. Find the
height of the viewing screen.http://www.ebook777.com
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