3Tvwo §6.5 / 3Thavo §6.6 Angles in solids

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 3

§6.5 or §6.6 Angles in solids

Start yourself by making exercise 

+ 33 p.218 (3T havo) or

+ 27 p.208 (3T vwo) !

Explanation §6.6

After you tried 27 / 33 for yourself, we are now going to

study the Method to:

Calculate the angle between two line segments in a solid!

3Tvwo:

Difficult exercise from:

§6.4 vwo: 26

§6.5 havo: 32

'Calculating in right-angles triangles'.

3Tvwo 26, p.206

Make a in your Notebook now,

if you did not manage to do so earlier!

What is the good order from now on?
Calculate ......, ......, ........ and .......

1. SP, HP, PZ and HZ
2. PZ, HP, SP and HZ
3. HP, SP, PZ and HZ
4. HP, SZ, PZ and HZ

In the next slides,

You will be shown exactly how to do work out 26.   

                                 

1.    Compare to your own work.

2.    If you did not manage at all, at home, then follow the steps carefully and

3.    Later, at home, try 26 again!

4.    Using your Memory and Creativity and finally checking with the Solutionsbook,

        you will have learnt a lot!

next step: calculate SP.

next: calculate PZ

finally : calculate HZ !

3Thavo 32, p.216

Task: Think of a way to find the answer.

Key this in in the next slide!

How to calculate 32a?
With ...............

1. cosine 18 degrees
2. tan 18 degrees
3. Pythagoras
4. a ratio table

Answer to 32a:

Task: think of a way to find the answer.

Key this in, in the next slide!

How to calculate 32b ?
With ........................

1. sin angle B
2. Pythagoras
3. tan angle B
4. tan angle B

answer to 32b:

or is it ??!

What is meant by 32c ?

Key this in, in the next slide!

What is meant by 32c?

Answer:

In 32c they mean: 

the difference between:

+ distance AB and 

+ the length of the stretched cord

What is not helpful, in calculating 32c?
(one option only)

1. cosine angle A
2. tan angle A and tan angle B
3. Pythagoras in both right-angled triangles
4. sine angle B

Explanation:

Only answer B was certainly not helpful, because

the tangent does not deal with the hypotenuse -or longest side in a triangle- and that is the side we need to know!

Homework time.