Answer:
Please check the explanation.
Step-by-step explanation:
Given
The angle Ф = 42°
The hypotenuse = 15 cm
To determine
The length AB = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
In our case:
- The adjacent to the angle Ф = 42° is the side AB
so substituting Ф = 42°, adjacent = AB, hypotenuse 15 in the trigonometric ratio
cos Ф = adjacent / hypotenuse
cos 42° = AB / 15
AB = 15 × cos 42°
AB = 11.14 cm
Therefore, the length of the side AB = 11.14 cm
