History Bookmarks People Window Help x1298397771268663181.pdt x schoolloop.com/f

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History Bookmarks People Window Help x1298397771268663181.pdt x schoolloop.com/fille/1500708346946/1185918372242/1298397771268663181.pdf 132. In an obstacle course, participants climb to the top of a tower and use a zip line to travel across a mud pit. The zip line extends from the top of a tower to a point on the ground 48.2 feet away from the base of the tower. The angle of elevation of the zip line is 33. Estimate the length of the zip line to the mearest tenth of a foot. Not drawn to scale c. about 88.5 ft d. about 57.5f a. about 74.2 b. about 31.3 ft You and another person are sunbathing on the beach near a lifeguard station. The Mher person chooses a spot that and the other person to the top of the lifeguard station are 26 and 51, respectively.Estimate the height of the 133. lifeguard station to the nearest tenth of a foot. 51 Not drawn so scale a. about 24.2 c about 19.6 ft 19

Explanation / Answer

132) Length of base = 48.2 ft

Length of zip = Base/ cos(33) = 48.2/cos(33) = 57.5 ft

133) Let the distance of the other person from the tower = x ft

Distance between other person and me = 30 ft

Let height of tower = h ft

So, tan(51) = h/x

h= x*tan(51) = 1.24*x

Also,

tan(26) = h/(x+30)

0.4877 = h/(x+30)

0.4877*x + 14.63 = h

0.4877*(h/1.24) + 14.63 = h

0.3933*h +14.63 = h

0.607*h = 14.63

h = 24.2 ft

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