Bell Assignment: Label the unit circle.. 5-4 Applying Trig Functions.

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5-4 Applying Trigonometric Functions. If J=50° and j=12, find r. G 12 r 50° R g J Sin 50⁰=12/r.7660=12/r.7660r=12 r=15.67.

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Presentation transcript:

Bell Assignment: Label the unit circle.

5-4 Applying Trig Functions

Consider triangle PQR at right. If P=35° and r=14m, find q. Set up an equation and solve! We know the hypotenuse and we’re looking for the adjacent side. Which trig ratio involves these two sides?

If B = 58° and b = 32 inches. Find a. Label what you know and solve for what you need to find.

If A = 50°45’ and c = 27 m, find b Label the picture. Solve for b.

IF THE ANGLE THAT THE ROPE MAKES WITH THE LEVEL GROUND IS 52° 15’, HOW LONG IS THE ROPE? WHAT IS THE DISTANCE BETWEEN THE BOTTOM OF THE TENT AND THE STAKE?

Regular Pentagon Label the Radius, Apothem and Side of the figure.

A regular pentagon has side length 8 centimeters. Find the length of the apothem to the nearest tenth.

A regular hexagon has side length 8 cm. Find the length of the apothem to the nearest tenth.

Angle of elevation The angle of elevation is the angle from the horizontal looking up to some object.

Angle of depression The angle of depression is the angle from the horizontal looking down to some object. Not the angle of depression

THE ANGLE OF DEPRESSION FROM A HELICOPTER TO ITS LANDING PORT IS 64°. IF THE ALTITUDE OF THE HELICOPTER IS 1600 M, FIND THE DIRECT DISTANCE FROM THE HELICOPTER TO THE LANDING PORT

On May 18, 1980 Mt. St. Helen’s erupted with such force that the top of the mountain was blown off. To determine the new height, a surveyor measured the angle of elevation to the top of the volcano to be 37°46’. The surveyor then moved 1000 ft closer to the volcano and measured the angle of elevation to be 40°30’.

Exit Pass Find b if A = 48°25’ and a = 15.4 cm