Geometry G40b Right Trinagles Worksheet Page 9

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68. Canyon: A symmetrical canyon is 4850 feet deep. A river runs through the canyon at its
deepest point. The angle of depression from each side of the canyon to the river is 60°. Round
to the nearest tenth.
a) Find the distance across the canyon.
b) Find the length of the canyon wall from the edge to
the river.
c) Is it more or less than a mile across the canyon?
(5280 feet = 1 mile)
A
69. Bleachers A fan at a sporting event is sitting at point
in the bleachers. The bleacher
seating has an angle of elevation of 30° and a base length of 90 feet. Round to the nearest
tenth.
a) Find the height CD of the bleachers.
b) Find the height of the fan sitting at point A from the ground.
c)
Find the distance AB that the fan is sitting from the base, point B.
AB
70. Kite Design You are designing a diamond-shaped kite. You know that
= 38.4 centimeters,
BC
AC
BD
= 72 centimeters, and
= 81.6 centimeters. You want to use a straight crossbar
. About
how long should it be?

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