Two angles of a triangle measure 57 and 46. What is the measure of the largest exterior angle of the triangle?

Mathematics

1 answer:

irina [24]2 years ago

5 0

Answer:

A. 103°

Step-by-step explanation:

57° + 46° =103°

This shows that the third angle in the triangle is 180°-103°=77°

Therefore the largest exterior angle is 180°-77°=103°

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In a right triangle, CosA=0.352 and SinA=0.936 What is the approximate value of tanA?

mr_godi [17]

$\tan A=\frac{\sin A}{\cos A}$

Proof: $\sin\div\cos=\frac{o}h\div\frac{a}h=\frac{o}h\times\frac{h}a=\frac{oh}{ha}=\frac{o}a=\tan$

$\cos A=0.352,\ \sin A=0.936$

$\tan A=\frac{0.936}{0.352}$

$\boxed{\tan A=2.65\overline{90}}$ <em>(round as needed)</em>