topic badge
CanadaON
Grade 12

Solve contextual problems in right triangles

Interactive practice questions

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 cylindrical can is depicted with a vertical height measured $13$13 units. Inside the cylinder, a line segment labeled $L$L extends diagonally, which is the length of the longest straw that can fit into the can, likely representing the slant height. At the top of the cylinder, the radius is measured $3$3 units, as shown by a scale line.
Easy
2min

The final approach of an airplane 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 $22.2$22.2 metres above the bridge and the connection point for the main cable is $57.4$57.4 metres from the tower.

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

Easy
4min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

12C.C.3.1

Solve problems in two dimensions using metric or imperial measurements, including problems that arise from real-world applications (e.g., surveying, navigation, building construction), by determining the measures of the sides and angles of right triangles using the primary trigonometric ratios, and of acute triangles using the sine law and the cosine law

What is Mathspace

About Mathspace