Math CentralQuandaries & Queries


Question from nida, a student:

the capilano suspension bridge in north vancouver is the world's highest footbridge of its kind. the bridge is 140m long . from the ends of the bridge the angles of depression of a point on the river under the bridge are 41 degree and 48 dr gee. how high is the bridge above the river to the nearest metre


I drew a diagram of what you described, where h is the height of the bridge above the water. The lengths are in metres.


Use a trig function and the triangle ABC to write an equation relating x and h. Repeat but with the triangle DAC. Solve the two equations for h.


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