SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to.

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Presentation transcript:

SOLVING RIGHT TRIANGLES We will be given information about a triangle and then have to find the remaining sides and angles. We will develop new ways to find the area of triangles. We will apply the law of sines and law of cosines.

SOH CAH TOA c a = 29 A C B b = 21 Find: c, B,C

Application Problems: A rhombus with a perimeter of 40 cm has a 70 degree angle. Find the lengths of the diagonals. What you know about a rhombus: The diagonals are perpendicular bisectors of each other The diagonals bisect the angles All sides are congruent

Application Problems: Find the measures of the acute angles of a right triangle whose whose shortest legs are 8 in. and 12 in.

ANGLES OF ELEVATION x Angles of elevation are always from the horizontal line of sight!

ANGLES OF DEPRESSION x Angles of depression are always from the horizontal line of sight!

I look out of a building and see a bird flying above a tree with a 10 degree angle of elevation. The tree is 30 feet away. If I am 30 feet above the ground, how high is the bird?

A lighthouse keeper notices a ship with a 5 degree angle of depression. If the lighthouse keeper is 25 meters above sea level, how far away is the ship?

An isosceles trapezoid has sides with lengths in a ratio of 6:10:6:14. Find the measure of the angle between a leg and the shorter base.