LEQ: How can you use trigonometry of right triangles to solve real life problems?

Ratios of the lengths of the sides in a right triangle Six possible trig ratios Three are more important Definition: In a right triangle with acute angle θ; θ Hypotenuse Leg opposite θ Leg adjacent θ

SOH CAH TOA Sin is Opposite over Hypotenuse Cos is Adjacent over Hypotenuse Tan is Opposite over Adjacent

f(θ) = sin θ g(θ) = cos θ h(θ) = tan θ Domain is a set of angle measures Evaluated using a calculator Calculator must be in the correct mode based on the units of the given angle Example: Find cos 64° The angle is measured in degrees, therefore the calculator must be in degrees mode ≈.438

A flagpole casts a 12-ft shadow when the sun is at an angle of 64° with the ground. From the known angle, you need to find the side opposite when you know the side adjacent Thus, tangent is used The flagpole is about 24.6 ft high 64° 12 feet h

Bearing: the angle measured clockwise from due north Example: A bearing of 42° Draw due north Draw the direction of travel based on the angle The angle measured clockwise from due north is the bearing N 42°

Lesson Master 10-1A #1-8

Sec. 10-1: Pgs #5-10, 13, 15-19, 21-25