217k views
2 votes
Analyze the diagram below and complete the instructions that follow. Find m

Analyze the diagram below and complete the instructions that follow. Find m-example-1
User Issa
by
6.8k points

1 Answer

3 votes

Given a right angle triangle

As shown in the figure:

The hypotenuse = AC = 73

The leg of the triangle AB = 55

We need to find the measure of angle A

We will find angle A using the cosine function as follows:


\begin{gathered} \cos A=\frac{adjacent}{\text{hypotenuse}} \\ \cos A=(AB)/(AC)=(55)/(73) \\ \\ A=\cos ^(-1)(55)/(73)=41.112 \end{gathered}

Round the answer to the nearest hundredth.

So, the answer will be: m∠A = 41.11

The answer will be the option B

User Srivats Shankar
by
6.8k points