Warm Up Find the missing side. 67o 10 x.

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Presentation transcript:

Warm Up Find the missing side. 67o 10 x

Finding the Missing Side Practice

Remember S O H C A H T O A Sin = Cos = Tan =

Finding the Missing Side Step-by-Step x 40 ft 25o What do we know?

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?

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?

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?

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?

x 46.9 meters 54o What do we know?

What do we want to know? x 46.9 meters We know: angle and hypotenuse

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?

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?

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?

STEP 1: Which angle is given? STEP 2: Which two sides are given? STEP 3: Which Trig Ratio should you use?

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

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?

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

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

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

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

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

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?