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elena-s [515]
3 years ago
7

PLEASEEE HELP ME ASAP!!

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

Answer:

Hence,

The measure of ∠A is 60.065°

\m\angle A= 60.065

Step-by-step explanation:

Given:

ΔABC is a Right Angle Triangle at ∠ B = 90°

BC = Opposite side to ∠A = 13 unit

AC = Hypotenuse  = 15 unit  

To Find:

m∠A = ?  

Solution:

In Right Angle Triangle ABC ,Sine Identity,

\sin A= \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\

Substituting the values we get

\sin A= \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\angle A=\sin^{-1}(0.8666)\\m\angle A= 60.065\°

Hence,

The measure of ∠A is 60.065°

\m\angle A= 60.065

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3 years ago
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nekit [7.7K]

Answer:68.3 degrees

Step-by-step explanation:

The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows

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Looking at the triangle,

b = 75 miles

a = 80 miles.

Angle ACB = 180 - 42 = 138 degrees. Therefore

c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138

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