36 Math

Problem 8 of 34geo-008

A zip line cable runs in a straight line from the top of a vertical tower to an anchor on level ground. The anchor is 2424 meters from the base of the tower, and the cable makes a 37∘37^\circ angle with the ground. Given that sin⁡37∘≈0.60\sin 37^\circ \approx 0.60, cos⁡37∘≈0.80\cos 37^\circ \approx 0.80, and tan⁡37∘≈0.75\tan 37^\circ \approx 0.75, about how many meters long is the cable?

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