Question

1) Identify the sides

2) Identify the trig ratio that you need
3) On your calculator input to find the length AB​

Answer 1

Please check the explanation.

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