Answer:
An Example to get to your answer to your awesome question! Hope you can learn from it and find your answer!
Explanation:
Example 1 Find Sine, Cosine, and Tangent Ratios
Find sin A, cos A, tan A, sin B, cos B, and tan B.
Express each ratio as a fraction and as a decimal.
Round to the nearest hundredth.
sin A =
opposite leg
hypotenuse
=
BC
AB
=
12
13 or 0.92
cos A =
adjacent leg
hypotenuse
=
AC
AB
=
5
13 or 0.38
tan A =
opposite leg
adjacent leg
=
BC
AC
=
12
5
or 2.4
sin B =
opposite leg
hypotenuse
=
AC
AB
=
5
13 or 0.38
cos B =
adjacent leg
hypotenuse
=
BC
AB
=
12
13 or 0.92
tan B =
opposite leg
adjacent leg
=
AC
AB
=
5
12 or 0.42
Example 2 Evaluate Expressions
Use a calculator to find each value to the nearest ten thousandth.
a. cos 48°
KEYSTROKES: [COS] 48 [ENTER]
cos 48° ≈ 0.6691
b. sin 85°
KEYSTROKES: [SIN] 85 [ENTER]
sin 85° ≈ 0.9962
Example 3 Use Trigonometric Ratios to Find a Length
AVIATION A plane in flight begins to climb at a constant angle of 2° for the next 70 ground miles.
Find the change in the plane's altitude to the nearest tenth mile.
Let x be the change in altitude in miles.
tan 2° =
x
70 tan =
leg opposite
leg adjacent
70 tan 2° = x Multiply each side by 70.
Use a calculator to find x.
KEYSTROKES: 70 [TAN] 2 [ENTER] 2.444453864
The change in the plane's altitude is about 2.4 miles.