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Karo-lina-s [1.5K]
3 years ago
12

HELP PLEASE<3 Find the missing angle Btw its trigonometry

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

which rounded to one decimal is

x = 16.6

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