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Solutions
27 Videos

Name the two similar triangles and explain why they are similar.

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Q1

The two triangles are similar. Find the unknown side lengths.

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Q2

Find the measure of both acute angles in the triangle, to the nearest degree.

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Q3a

Find the measure of both acute angles in the triangle, to the nearest degree.

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Q3b

Find the measure of both acute angles in the triangle, to the nearest degree.

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Q3c

Find the measure of both acute angles in the triangle, to the nearest degree.

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Q3d

Find the length of x, to the nearest tenth of a unit.

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Q4a

Find the length of x, to the nearest tenth of a unit.

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Q4b

Find the length of x, to the nearest tenth of a unit.

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Q4c

Find the length of x, to the nearest tenth of a unit.

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Q4d

Solve the triangle. Round each side length to the nearest tenth of a unit and each angle to the nearest degree.

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Q5a

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Q5b

In a roof, a 1.5-m support is to be placed at point B, as shown. Find the length of the support to be placed at point A, to the nearest tenth of a metre.

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Q6

From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.

a) Find the height of the rock ledge, to the nearest metre.

b) Find the height of the tree, to the nearest metre.

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Q7

Find the length of x, to the nearest centimetre.

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Q8

Find the length of `c`

, to the nearest tenth of a metre.

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Q9

Find the measure of `\angle P`

, to the nearest degree.

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Q10

Find the measure of `\angle E`

, to the nearest degree.

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Q11

Solve the triangle. Round answers to the nearest unit, if necessary.

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Q12a

Solve the triangle. Round answers to the nearest unit, if necessary.

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Q12b

Solve the triangle. Round answers to the nearest unit, if necessary.

In acute `\triangle WXY, \angle X = 81^o`

, `\angle W = 32^o`

, and `w = 16 cm`

.

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Q12c

Solve the triangle. Round answers to the nearest unit, if necessary.

In acute `\triangle EFG, \angle E = 84^o`

, `f = 32 km`

, and `g = 21 km`

.

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Q12d

Solve the triangle. Round answers to the nearest tenth of a degree.

In acute `\triangle ABC, a = 6.8 cm`

, `b = 8.7 cm`

, and `c = 9.6 cm`

.

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Q13a

Solve the triangle. Round answers to the nearest tenth of a degree.

In acute `\triangle TUV, t = 10.3 m`

, `u = 11.4 m`

, and `v = 12.5 m`

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Q13b

A ship is sighted at sea from two observation points on the coastline that are 60 km apart. The angle between the coastline and the ship at the first observation point is 43°. From the second observation point, the angle between the coastline and the ship is55°.Howfaristheshipfromthe second observation point, to the nearest kilometre?

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Q14

Find the length of the tunnel, to the nearest metre.

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Q15

Find the length of the tunnel, to the nearest metre.

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Q16