Question

Help with Trigonometry please?
Find x to the nearest tenth. Consult the table below if you need to find the correct tangent ratio.
Tangent Table --> https://media.glynlyon.com/a_matgeo_2011/5/groupi94.gif

Angle --> https://media.glynlyon.com/a_matgeo_2011/5/73_370.gif

x = ?

Answer 1

My work:
20* = x/10
0.3640 = x/10
10 divided by 0.3640 = 27.47 rounded to the nearest tenth = 27.5

Answer 2

Think about the tangent definition. Tan(angle) = opposite/adjacent
The opposite side is x, the adjacent side is 10. You know the angle.

Answer 3

so should i multiply it then instead? that would be 3.64

Answer 4

\[\tan(20) = x / 10\]

Answer 5

Correct, so x = 10tan(20) clearly. Simply look up the value for tan(20) and round to the nearest 10th.

Answer 6

okay thanks :)