# Calculating lengths and heights

This task is about using trigonometry to find missing lengths.

Use trigonometry to solve the following problems.

a) |
Teresa took the ski lift 4000 metres to the top of Mount Herbert, at an angle of 40º.
[Not drawn to scale]
Calculate
x, the height of Mount Herbert. Show all your working in your calculation.x = ________ metres |

b) |
Daniel's toy boat travelled 5 metres downstream at an angle of 55° before it reached the other side of the river.
[Not drawn to scale]
Calculate
y the width of the river. Show all your working in your calculation.y = ________ metres |

c) |
A penguin slid 25 metres down an iceberg at an angle of 30º until it reached the water.
[Not drawn to scale]
Calculate
z the height of the iceberg above the water. Show all your working in your calculation.z = ________ metres |