7-2 Tangent

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

7-2 Tangent

What you need:

- Textbook, writingbook, iPad

- Pen, pencil, geotriangle

- Calculator

Schoolbags in the cuboard

Phones in the phonebag

Bluetooth 

- ON

- VPN off

Lesson goal

At the the end of this lesson, you must be able to calculate the angle of elevation if the ratio of

is known.

​distance​​height​​

A drawing acocording to scale

The tangent...

The result 

can also be called the tangent instead of the gradient.

You cn write this as 

​distance​​height​​

tan(∠A)

Make question 7, and type answers into lessonup...

tan

∠A

1. 6/13
2. 13/6
3. 12/13
4. 13/12

tan

∠B

1. 6/13
2. 13/6
3. 5/6
4. 6/5

tan

∠C

1. 12/13
2. 13/12
3. 5/12
4. 12/5

Hoek berekenen... 

Als       tan

dan is                = tan^-1

^{dus dan is             =} 

∠A=​4​​3​​

∠A

​4​​3​​

A

B

C

4

3

∠A

37​0​​

So, how do you calculate the angle...

Try 11, and type your answers into lessonup... 

1 - tangent

1. 0,125
2. 8
3. 1800

1 - angle of elevation

1. 7
2. 8
3. 9
4. 10

2 - tangent

1. 0,2
2. 5
3. 28125
4. 79

3 - Height

1. 40
2. 640
3. 156
4. 14

3 - angle

1. 14
2. 15
3. 16
4. 17

4 - height

1. 61
2. 62
3. 63
4. 64

4 - tangent

1. 0,1235...
2. 0,3057...
3. 0,8294...
4. 0,9132...

The greater the tangent, the ... the angle of elevation

1. greater
2. smaller
3. same size
4. none of the above

Try on your own

1, 2, 5 and 7

TRY ON YOUR OWN...

RULES:

• In your writingbook
• Use: Textbook
• Discussion when you are stuck is allowed

Extra excercise: none

Challenge: none

8, 9

(p. 12)