Answer:
a = 7.3 cm
Step-by-step explanation:
In this exercise, the hypotenuse and an angle are known. We have to find "a", which is the adjacent side to 56°.
So, we can use the formula for cosine:
[tex]\cos \alpha=\frac{adjacent}{\text{hypotenuse}}[/tex]
Substituting the values, we have:
[tex]\begin{gathered} 0.56=\frac{a}{\text{1}3} \\ a=0.56\cdot13 \\ a=7.3 \end{gathered}[/tex]
Answer: "a" is the side length and its measure is 7.3 cm.
To find the missing angle:
The sum of the angles in a triangle is 180°. Let's say β is the missing angle,
180 = 90 + 56+ β
β = 180 - 90 - 56
β = 34°
