A square game board is divided into smaller squares, each with sides one-third the length of the sides of the board.
1 answer:
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Answer:
<em>50° is the correct answer</em>
Step-by-step explanation:
<u>Right Triangles</u>
The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.
We have a right triangle with the following characteristics:
The hypotenuse is 13 units long
The indicated angle is opposite to the leg of 10 units long.
When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:
Using a calculator set in mode <em>degrees</em>, the angle is:
First choice: 52° is not correct because is not a good approximation to 50.3°
Second choice:38° is not correct because is not a good approximation to 50.3°
Third choice: 50° is a good approximation to 50.3°. Correct Answer
Fourth choice: 40° is not correct because is not a good approximation to 50.3°