Trigonometry

Hong Kong

Stage 1 - Stage 3

Consider a cone with slant height $13$13m and perpendicular height $12$12m.

a

Find the length of the radius, $r$`r`, of the base of this cone.

b

Hence, find the length of the diameter of the cone's base.

Easy

Approx 2 minutes

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.

A square prism has sides of length $11$11cm, $11$11cm and $15$15cm as shown.

A fruit juice container has the shape of a rectangular prism. It needs a straw that must extend $20$20 mm beyond the container while touching the furthest corner of the base.

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