Math lesson

Slajd: 1
Today's lesson: trigonometric ratiosSine: Cosine:the trigonometric function that is equal the trigonometric function that is equal toto the ratio of the side opposite a given the ratio of the side adjacent to an acute angleangle (in a right triangle) to the hypotenuse. (in a right-angled triangle) to the hypotenuse.
For example, let’s calculate the cosine of angle α in a triangle with the length of the adjacent side equal to 6 and the hypotenuse equal to 8.cos(α) = 6/8cos(α) = 3/4
For example, let’s calculate the sine of angle α in a triangle with the length of the opposite side equal to 4 and the hypotenuse equal to 6.sin(α) = 4/6sin(α) = 2/3
Today we are going to be learning about trigonometric ratios! Take your notebooks out and write down what's on the board.
Slajd: 2
Sarah is flying a kite. The string of the kite makes a 40° angle with the ground. The string is 120 meters long. How high is the kite above the ground (ignoring the height of Sarah’s hand and assuming the string is straight and taut)?
120 meters
Step 1: Plug in the known valuessin(40∘) = height/120Step 2: Solve for the heightheight = 120 × sin(40∘)Step 3: Use a calculatorsin(40∘) ≈ 0.6428height = 120 × 0.6428 = 77.136 metersFinal Answer:The kite is approximately 77.14 meters above the ground.

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