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CanadaON
Grade 10

Angles of elevation and depression II

Interactive practice questions

A tower used to lean at an angle of inclination of $84^\circ$84°. Now that it has been restored, it has an angle of inclination of $86^\circ$86°.

What is the angle at which the tower now deviates from a vertical position?

Easy
1min

Amelia measures the angle of elevation to the top of a tree from a point, $29$29 meters away from the base, to be $31$31°. Find the height of the tree, $h$h, to the nearest meter.

Easy
2min

The angle of elevation from an observer to the top of a tree is $18^\circ$18°. If the distance between the tree and the observer is $d$d meters and the tree is known to be $3.53$3.53 m high, find $d$d to two decimal places.

Easy
2min

At a certain time of the day a light post, $6$6 m tall, has a shadow of $5.8$5.8 m. If the angle of elevation of the sun at that time is $\theta$θ°, find $\theta$θ to two decimal places.

Medium
2min
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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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