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Alchen [17]
3 years ago
8

in a right triangle, if angle O is equal to 39 and the side adjacent to is equal to 12.0 centimeters, what is the approximate le

ngth of the opposite side?
Mathematics
2 answers:
lesya [120]3 years ago
8 0
Approximated: 9.7cm
Exact: 12tan(39) or \frac{12}{tan51}

Explanation:
It's always best for these types of questions to visualise it. A right triangle has base angle of 90°. Mark in what you know, and leave out the rest. Notice how the question doesn't ask for a hypotenuse. This means that you might be using the tangent function as the tangent function also doesn't require a hypotenuse.

So now, you have a side of 12cm, with the corresponding 39° angle marked.
To find the missing length, you can use the tangent function to approximate the length:

tan39 = \frac{x}{12} (opposite/adjacent)

Now, isolate the variable, x:
x = 12tan39 (exact form)
x = 9.7cm (approximated to 1 decimal place)
Luden [163]3 years ago
7 0

Answer:

9.7 cm

Step-by-step explanation: I took the test.

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