New Zealand
Level 7 - NCEA Level 2

# Side lengths with Exact Values

Lesson

#### Worked Examples

##### Question 1

Find the length of side $h$h.

##### Question 2

1. Solve for the unknown $\theta$θ. Leave your answer in degrees.

##### Question 3

1. Solve for the exact value of $x$x.

2. Solve for the exact value of $y$y.

##### Question 4

Consider the equilateral with side lengths of $2$2 units.

1. Find the perpendicular height $h$h of the triangle.

2. Determine the measure of angle $x$x.

3. Determine the exact value of $\sin60^\circ$sin60°.

4. Determine the exact value of $\cos60^\circ$cos60°.

5. Determine the exact value of $\tan60^\circ$tan60°.

6. Determine the exact value of $\sin30^\circ$sin30°.

7. Determine the exact value of $\cos30^\circ$cos30°.

### Outcomes

#### M7-4

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

#### 91259

Apply trigonometric relationships in solving problems