Right Triangle Trigonometry

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Presentation transcript:

Right Triangle Trigonometry Right Triangle Trigonometry (MAT 142) Right Triangle Trigonometry

Right Triangle Trigonometry (MAT 142) Objectives Calculate the lengths of sides and angles of a right triangle using trigonometric ratios. Solve word problems involving right triangles and trigonometric ratios.

Trigonometric Functions for Right Triangles Right Triangle Trigonometry (MAT 142) Trigonometric Functions for Right Triangles

Right Triangle Trigonometry (MAT 142) Special Triangles

Right Triangle Trigonometry (MAT 142) Use trigonometric ratios to find the unknown sides and angles in the right triangle below

Right Triangle Trigonometry (MAT 142) Use trigonometric ratios to find the unknown sides and angles in the right triangle below

Right Triangle Trigonometry (MAT 142) Use trigonometric ratios to find the unknown sides and angles in the right triangle below: b = 6.5 mA = 54.3°

Right Triangle Trigonometry (MAT 142) Use trigonometric ratios to find the unknown sides and angles in the right triangle below: a = 6.0 b = 7.0

Right Triangle Trigonometry (MAT 142) Use trigonometric ratios to find the unknown sides and angles in the right triangle below: c = .92 mB = 49.9°

Right Triangle Trigonometry (MAT 142) A support cable runs from the top of the telephone pole to a point on the ground 42.7 feet from its base. If the cable makes an angle of 29.6° with the ground, find the height of the pole and find the length of the cable (rounding to the nearest tenth of a foot).

Right Triangle Trigonometry (MAT 142) You are hiking along a river and see a tall tree on the opposite bank. You measure the angle of elevation of the top of the tree and find it to be 61.0°. You then walk 50 feet directly away from the tree and measure the angle of elevation. If the second measurement is 49.5°, how tall is the tree? Round your answer to the nearest foot.