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Warm Up Find the missing side. 67o 10 x
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Finding the Missing Side Practice
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Remember S O H C A H T O A Sin = Cos = Tan =
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Finding the Missing Side Step-by-Step
x 40 ft 25o What do we know?
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What do we want to know? Finding the Missing Side Step-by-Step
We know: angle and opposite side x 40 ft 25o What do we want to know?
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Which trigonometric ratio do we use?
Finding the Missing Side Step-by-Step We know: angle and opposite side We want to know: hypotenuse x 40 ft 25o Which trigonometric ratio do we use?
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Set up and solve your proportion?
Finding the Missing Side Step-by-Step We know: angle and opposite side We want to know: hypotenuse We sill use: sin x 40 ft 25o Set up and solve your proportion?
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Set up and solve your proportion?
Finding the Missing Side Step-by-Step We know: angle and opposite side We want to know: hypotenuse We sill use: sin x 40 ft 25o Set up and solve your proportion?
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x 46.9 meters 54o What do we know?
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What do we want to know? x 46.9 meters We know: angle and hypotenuse
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Which trig ratio do we use?
x 46.9 meters We know: angle and hypotenuse 54o We want to know : adjacent side Which trig ratio do we use?
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Set up and solve the proportion?
x 46.9 meters We know: angle and hypotenuse 54o We want to know : adjacent side We will use: cos Set up and solve the proportion?
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Set up and solve the proportion?
x 46.9 meters We know: angle and hypotenuse 54o We want to know : adjacent side We will use: cos Set up and solve the proportion?
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STEP 1: Which angle is given?
STEP 2: Which two sides are given? STEP 3: Which Trig Ratio should you use?
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STEP 1: Which angle is given?
Angle B = 48º STEP 2: Which two sides are given? Adjacent and Hypotenuse STEP 3: Which Trig Ratio should you use? Cosine
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. What does this situation look like?
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. What do we know? tree 62o Ranger 10 ft
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. We know: angle and adjacent side What do we need? tree 62o Ranger 10 ft
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. We know: angle and adjacent side We need: opposite side Which trig ratio do we use? tree 62o Ranger 10 ft
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. We know: angle and adjacent side We need: opposite side We use: tangent tree Set up proportion and solve. 62o Ranger 10 ft
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Using Trigonometric Ratios to Solve Problems
Problem: A forest ranger must estimate the height of a tree. He stands 10 feet from the base of the tree and measures his angle of inclination at 62o. We know: angle and adjacent side We need: opposite side We use: tangent tree Set up proportion and solve. 62o Ranger 10 ft
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Using Trigonometric Ratios to Solve Problems
Problem: A boy flying a kite lets out 300 feet of string which makes an angle of 38° with the ground. Assuming that the string is straight, how high above the ground is the kite? What does this situation look like?
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