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

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Presentation transcript:

Finding the Missing Side Practice

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

25 o 40 ft x What do we want to know? Finding the Missing Side Step-by-Step We know: angle and opposite side

25 o 40 ft x Which trigonometric ratio do we use? Finding the Missing Side Step-by-Step We know: angle and opposite side We want to know: hypotenuse

25 o 40 ft x 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

25 o 40 ft x 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

46.9 meters x 54 o What do we know?

46.9 meters x 54 o What do we want to know? We know: angle and hypotenuse

46.9 meters x 54 o Which trig ratio do we use? We know: angle and hypotenuse We want to know : adjacent side

46.9 meters x 54 o Set up and solve the proportion? We know: angle and hypotenuse We want to know : adjacent side We will use: cos

46.9 meters x 54 o Set up and solve the proportion? We know: angle and hypotenuse We want to know : adjacent side We will use: cos

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 62 o. 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 62 o. tree Ranger 10 ft 62 o What do we know?

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 62 o. tree Ranger 10 ft 62 o We know: angle and adjacent side What do we need?

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 62 o. tree Ranger 10 ft 62 o We know: angle and adjacent side We need: opposite side Which trig ratio do we use?

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 62 o. tree Ranger 10 ft 62 o We know: angle and adjacent side We need: opposite side We use: tangent Set up proportion and solve.

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 62 o. tree Ranger 10 ft 62 o We know: angle and adjacent side We need: opposite side We use: tangent Set up proportion and solve.