Question

Calculate either the missing angle or side stated. Give your answer correct to 1 decimal place

Answer 1

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:

`\cos \alpha=\frac{adjacent}{\text{hypotenuse}}`

Substituting the values, we have:

`\begin{gathered} 0.56=\frac{a}{\text{1}3} \\ a=0.56\cdot13 \\ a=7.3 \end{gathered}`

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°