Question

Look at the figure. Which trigonometric ratio should you use to find x?

Answer 1

Cosine

Explanation:

With the cosine function, you take the side adjacent to the known angle and divide it by the hypotenuse. Because adjacent is given and you are solving for hypotenuse, you would use cosine.

Answer 2

The trigonometric ratio to use to find x is A.cosine

Explanation:

From the figure given, adjacent is given to be 120 m and hypotenuse is what we are to find, the best trigonometric ratio that can be use to find x with the value given is cos

Using trigonometric ratio to find x;

cos Ф = adjacent / hypotenuse

From the figure given; Ф = 25° adjacent = 120 m and hypotenuse = x

We can now proceed to insert the values into the formula;

cos Ф = adjacent / hypotenuse

cos 25 =
`(120)/(x)`

cross-multiply

x cos 25 = 120

Divide both-side of the equation by cos 25

`(x cos 25)/(cos 25)` =
`(120)/(cos25)`

x = 132.4 m