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Abbie23
 2 years ago
a ship is coming into a harbor on an unusually high tide. The ship has to pass under the harbor bridge but the captain doesn't know if the ship will fit. he uses a theodolite to measure the angle at an unknown distance from the bridge and then remeasures the angle when he is 300 meters closer. The first angle measured is 2.3 degrees from sea level and the second angle is 3.3 degrees from sea level. If the ships height is 35metres out of the water, will it fit under the bridge.
Abbie23
 2 years ago
a ship is coming into a harbor on an unusually high tide. The ship has to pass under the harbor bridge but the captain doesn't know if the ship will fit. he uses a theodolite to measure the angle at an unknown distance from the bridge and then remeasures the angle when he is 300 meters closer. The first angle measured is 2.3 degrees from sea level and the second angle is 3.3 degrees from sea level. If the ships height is 35metres out of the water, will it fit under the bridge.

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LagrangeSon678
 2 years ago
Best ResponseYou've already chosen the best response.0have you tried drawing the triangles?

SmoothMath
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1337462749284:dw

SmoothMath
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1337463129517:dw tan(3.3) = O/x tan(2.3) = O/(x+300)

SmoothMath
 2 years ago
Best ResponseYou've already chosen the best response.0Solve the first equation for x, substitute into the second equation and solve for O.
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