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Lady_Fox [76]
3 years ago
7

The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

Mathematics
2 answers:
Elden [556K]3 years ago
7 0

Answer:

Option C is correct

the measure of the angle to the nearest tenth is, 73.6°

Step-by-step explanation:

Let angle of measure in degree be A

As per the statement:

The tangent of an angle is 3.4.

⇒\tan A = 3.4

Taking tan inverse both sides we have;

A = \tan^{-1} (3.4)

Simplify:

A= 73.61045967°

Therefore, the measure of the angle to the nearest tenth is, 73.6°

____ [38]3 years ago
4 0
73.610 is the correct answer
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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
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The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

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