using sohcahtoa trigonometry. in each of the following diagrams use sin to find the angle x correct...
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SIN of an angle – solutionsTRANSCRIPT
Using SOHCAHTOAUsing SOHCAHTOA
TrigonometryTrigonometry
In each of the following diagrams use SIN to find the angle x correct to 1 decimal place.
1.3
3.2x 5.2
6.6
x
x
5.9
2.24.4
3.7
x
13
10
x
5.7
2
x
13.7x
5
3.2
2.4
x4
9
4.8x 10.2
3
6
x
x5
8
( Note: In the last two examples you will need to use Pythagoras before you can use SIN)
SIN of an angle – solutions
51.363.461.936.921.420.550.357.221.952.024.0
In each of the following diagrams use COS to find angle x correct to 1 decimal place.
6.4
5.2x
5.7
8.6
x
3.3
5
x6.4
4.5
x 5.4
2.3x
x3
7
7.59.4
x
5.6
2.6
3.2x
4.1
13.7
8.6x
16.2 8.9 6.7
x
x4.9
2.6
( Note: In the last two examples you will need to use Pythagoras before you can use COS)
COS of an angle – solutions
32.148.832.338.737.164.845.348.7
64.648.535.7
In each of the following diagrams use TAN to find angle x correct to 1 decimal place.
1.7
3.8x 5.1
3.6x
x
52
4.7
2.7x
7.1
10
x
5.3
2
x
12
13x
5
4 3x
5
15
8x
17
3
6
x
x5
2
( Note: In the last two examples you will need to use Pythagoras before you can use TAN)
TAN of an angle – solutions
23.66028.159.022.620.754.660.121.854.824.1
Finding an angle-mixture- In each diagram below find the size of angle x.
x 9
7
x
4.3
5.8
x3.4
2.3
x
2.7
3.6
x3
2
x
5.5
6.3
x
4.1
2.1
68.2
x
x
1312
5
3.2
x2.1
4.9
CA
3
8
4
B
Find the angles of triangle ABC
Angle mixture – solutions
39,88,53x=31.367.453.859.260.848.248.634.142.351.1
Finding the length of a side.
In each diagram below find the length of the side indicated.
4x
37º
8x64º 2.7 x
42º
4x
42º
2.8
x38º
10
x
59º
5.2
x32º
5x
75º
4.9
x
71º
8.6
x 29º
6.6
79º
x4 x
50º
Length of a side – solutions
3.14.81.34.61.34.48.62.23.02.43.52.4
Finding the length of the hypotenuse. In each diagram below find the length of the side indicated.
x
4
37º
x
3.2
63º x
2.8
74º
x6
56º15
x
40º
x
8.6
32º
5.4x
31º x
4.1
66º
Finding the hypotenuse – solutions
10.110.516.223.310.72.97.06.6