New Zealand
Level 7 - NCEA Level 2

# Angles of Elevation and Depression

## Interactive practice questions

A man standing at point $C$C, is looking at the top of a tree at point $A$A. Identify the angle of elevation in the figure given.

$\alpha$α

A

$\theta$θ

B

$\sigma$σ

C

$\alpha$α

A

$\theta$θ

B

$\sigma$σ

C
Easy
Less than a minute

A man standing at the top of the tower at point $B$B, is looking at the ground at point $C$C. Identify the angle of depression in the figure given.

Considering the diagram below, find $x$x, the angle of elevation to point $A$A from point $C$C.

Round your answer to two decimal places.

Sally measures the angle of elevation to the top of a tree from a point $20$20m away to be $43^\circ$43°. If the height of the tree is $h$h m, find the value of $h$h.

Round your answer to the nearest whole number.

### Outcomes

#### M7-4

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

#### 91259

Apply trigonometric relationships in solving problems