A space shuttle is spotted flying at an angle of elevation of 17° when sighted from Cape Canaveral. At the mom?
A space shuttle is spotted flying at an angle of elevation of 17° when sighted from Cape Canaveral. At the moment it is sighted, it is directly overhead a ship located 12 mi from the Cape. The height of the shuttle at this moment is approximately
a. 3.5 mi
b. 3.7 mi
c. 2.8 mi
d. 4.1 mi
helpp?!?! thank youu!
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Verified answer
tan (angle of elevation) = height / (distance of ship from cape)
tan(17) = height / 12
height = 12 * tan(17)
height = 3.668768177 mi
height ~ 3.7 mi
Hence, the answer is b.