bob, who is 2.2m tall, is standing a distance of 15m from a flagpole as shown below. from his point of view, the angle of view between the top and bottom of the pole is 32 degrees. how tall is the flagpole to the nearest hundredth of a metre
+130511 So...we know the adjacent side and we're looking for the opposite side...looks like we need to use the tangent function here...so we have
tan (32) = (x-2.2) / 15 ......note that Bob's line of sight is 2.2 m "up" the pole, so (x-2.2) will represent the rest of the pole length with "x" being the height ... so we have
15 tan(32) = x - 2.2 add 2.2 to each side
2.2 + 15 tan(32) = x = 11.57 m
+130511 So...we know the adjacent side and we're looking for the opposite side...looks like we need to use the tangent function here...so we have
tan (32) = (x-2.2) / 15 ......note that Bob's line of sight is 2.2 m "up" the pole, so (x-2.2) will represent the rest of the pole length with "x" being the height ... so we have
15 tan(32) = x - 2.2 add 2.2 to each side
2.2 + 15 tan(32) = x = 11.57 m
