25 ◦
7
x
y
SOLUTION
Step 1: Identify the opposite and adjacent sides and the hypotenuse with reference to the given angle
tan=
opposite
adjacent
tan 25 °=
x
7
cos=
adjacent
hypotenuse
cos 25 °=
7
y
Step 2: Rearrange the equations to solve forxandy
x= 7tan 25 °
y=
7
cos 25 °
Step 3: Use your calculator to find the answers
x=3,26415...
x3,26
y=7,72364...
y7,72
VISIT:
The following video shows an example of finding unknown lengths in a triangle using the trigonometric ratios.
See video:2FQTatwww.everythingmaths.co.za
Chapter 5. Trigonometry 123