# How do I do this trigonometry question?

In the sport of air racing, small planes have to travel between two large towers (or pylons). The gap between a pair of pylons is smaller than the wing-span of the plane, so the plane has to go
through on an angle with one wing ‘above’ the other. The wing-span of a competition airplane is 8 metres.
a. Determine...
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In the sport of air racing, small planes have to travel between two large towers (or pylons). The gap between a pair of pylons is smaller than the wing-span of the plane, so the plane has to go

through on an angle with one wing ‘above’ the other. The wing-span of a competition airplane is 8 metres.

a. Determine the angle, correct to 1 decimal place, that the plane has to tilt if the gap between pylons is 7 metres

b. Because the plane has rolled away from the horizontal as it travels between the pylons it loses speed. If the plane’s speed is below 96 km/h it will stall and possibly crash. For each degree of ‘tilt’ the speed of the plane is reduced by 0.98 km/h. What is the minimum speed the plane must go through each of the pylons in part a? Write your answer correct to 2 decimal places.

through on an angle with one wing ‘above’ the other. The wing-span of a competition airplane is 8 metres.

a. Determine the angle, correct to 1 decimal place, that the plane has to tilt if the gap between pylons is 7 metres

b. Because the plane has rolled away from the horizontal as it travels between the pylons it loses speed. If the plane’s speed is below 96 km/h it will stall and possibly crash. For each degree of ‘tilt’ the speed of the plane is reduced by 0.98 km/h. What is the minimum speed the plane must go through each of the pylons in part a? Write your answer correct to 2 decimal places.

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