Answer:
80.4
Step-by-step explanation:
To remember all of the ratios for trigonometry, using the acronym "SohCahToa". You always divide two sides for trig. ratios.
'S' is sine or sin for short.
'C' is cosine or cos for short.
'T' is tangent, or tan for short.
'h' means hypotenuse, the longest side in the triangle.
'o' means the side that's opposite, or not touching the angle of reference.
'a' means the side that's adjacent, or touching the angle of reference.
The angle of reference means the angle you are talking about (use the symbol θ to mean angle). In this question, the angle of reference is 15°.
We have the adjacent side, 300, and we need to find the opposite side, x.
The trig. ratio that has the side adjacent and opposite is tangent or 'tan'.
tanθ = opposite / adjacent Trig. ratio for tangent
tan15° = x / 300 Substitute what we know. Isolate 'x'.
x = 300tan15° This means 300 times tan15°. Use a calculator.
x = 80.3847..... Exact decimal answer on your calculator
x ≈ 80.4 Answer rounded to nearest tenth (first decimal)
When rounding, you decide to round up or down using the decimal place after where you will cut off.
In 80.3847..... '8' tells us to round up because it is 5 or greater.
If the second decimal place was 4 or less, we round down (the answer would be 80.3).
