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5.1 Solving Right Triangles. Back in Geometry we learned SOH–CAH–TOA! It was to remember 3 trig functions in a right triangle a b c θ opp = = adj = hyp.

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Presentation on theme: "5.1 Solving Right Triangles. Back in Geometry we learned SOH–CAH–TOA! It was to remember 3 trig functions in a right triangle a b c θ opp = = adj = hyp."— Presentation transcript:

1 5.1 Solving Right Triangles

2 Back in Geometry we learned SOH–CAH–TOA! It was to remember 3 trig functions in a right triangle a b c θ opp = = adj = hyp * remember the opposite & adjacent sides change with respect to where the angle θ is

3 Some basic solving: Ex 1) Solve for a and c. (Degree mode!) 42° a 20 c B C A

4 * Most of these situations are in the context of a word problem! JUST DRAW A PICTURE! Ex 2) A security camera in a bank mounted on a wall 10 feet from the floor is aimed at a spot on the floor 22 feet away. Determine the angle of depression. angle of depression angle of angle of elevationdepression line of sight angle of elevation (they are the same! alternate interior angles) θ 10 22 θ

5 Ex 3) The length of a parallel of latitude can be found by R = radius of Earth (6400 km) B = degree latitude Determine the length of the 29 th parallel = 35, 171 km

6 Ex 4) A surveyor observes that the top of a building makes an angle of 37.2° with the road. From another location 400 ft away the angle of elevation is 20°. How far is the base of the building from the first observation point on the road? 37.2° Do 2 right △ s! Solve for h first x 400 20° hh Store  H = 191.805 ft

7 Homework #501 Pg 248 #13, 15, 17, 21, 23, 25, 28, 31, 33, 36, 37, 39, 41, 43


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