Trigonometry

Hong Kong

Stage 1 - Stage 3

A soft drink can has a height of $13$13 cm and a radius of $3$3 cm. Find $L$`L`, the length of the longest straw that can fit into the can (so that the straw is not bent and fits entirely inside the can).

Give your answer rounded *down* to the nearest cm, to ensure it fits inside the can.

Easy

2min

The final approach of an aeroplane when landing requires the pilot to adjust their angle of descent to about $3$3°. If the plane is $12$12 metres above the runway and has $d$`d` metres until touchdown, find $d$`d` to the nearest metre.

Easy

2min

Two flag posts of height $13$13 m and $18$18 m are erected $21$21 m apart. Find $l$`l`, the length of the string (in metres) needed to join the tops of the two posts, correct to one decimal place.

Easy

2min

A suspension bridge is being built. The top of the concrete tower is $35.5$35.5 metres above the bridge and the connection point for the main cable is $65.9$65.9 metres from the tower.

Assume that the concrete tower and the bridge are perpendicular to each other.

Easy

4min

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