NZ Level 7 (NZC) Level 2 (NCEA) Applications to Real Life II

## Interactive practice questions

A soft drink can has a height of $11$11cm and a radius of $4$4cm. 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
Approx 2 minutes

Two flag posts of height $12$12m and $17$17m are erected $20$20m apart. Find the length of the string in metres ($l$l) needed to join the tops of the two posts, correct to one decimal place.

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.

A ship is $27$27m away from the bottom of a cliff. A lighthouse is located at the top of the cliff. The ship's distance is $34$34m from the bottom of the lighthouse and $37$37m from the top of the lighthouse.

### Outcomes

#### M7-4

Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

#### 91259

Apply trigonometric relationships in solving problems