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Grade 10

Angles of elevation and depression I

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.

A right triangle is shown with vertices labeled A, B and C. Side AB is the vertical leg, side BC is the horizontal leg, and side AC is the hypotenuse. The right angle is at vertex B, as indicated by a small square. There are two arcs indicating angles: one at vertex C, labeled with $\alpha$α, and another at vertex A, labeled with $\theta$θ. Above vertex C, a vertical dotted line extends from vertex C to a point labeled D. The angle between this dotted line CD and the hypotenuse AC is labeled with $\sigma$σ.

$\alpha$α

A

$\theta$θ

B

$\sigma$σ

C
Easy
< 1min

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.

Easy
< 1min

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.

Easy
2min

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.

Easy
1min
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Outcomes

10P.MT2.03

Solve problems involving the measures of sides and angles in right triangles in real life applications, using the primary trigonometric ratios and the Pythagorean theorem

10P.MT2.04

Describe, through participation in an activity, the application of trigonometry in an occupation

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