Geometric Mean Proportions & Pythagorean Theorem

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Presentation transcript:

100 200 300 400 500 Geometric Mean Proportions & Pythagorean Theorem Special Right Triangles Trig Angles of Elevation & Depression Law of Sines & Law of Cosines 100 200 300 400 500

Geometric Mean Proportions & Pythagorean Theorem - 100 Solve for x.

Answer 8 BACK

Geometric Mean Proportions & Pythagorean Theorem - 200 Solve for x.

Answer 6 BACK

Geometric Mean Proportions & Pythagorean Theorem - 300 State if the following sides can make an acute, obtuse, or right triangle: 6, 17, 10

Answer Not a triangle. BACK

Geometric Mean Proportions & Pythagorean Theorem - 400 Solve for x, y, and z. Write answers as simplified radicals.

Answer x = 7 y = 3 7 z = 4 7 BACK

Geometric Mean Proportions & Pythagorean Theorem - 500 Solve for x. 6 3 4 x + 3 x

Answer 12 BACK

Special Right Triangles - 100 Solve for x, y, and z.

Answer X = 4 2 Y = 3 3 Z = 6 BACK

Special Right Triangles – 200 Solve for x.

Answer X = 8 2 BACK

Special Right Triangles - 300 Solve for x and y.

Answer X = 3 3 Y = 9 BACK

Special Right Triangles – 400 What is the area of the figure below?

Answer 32 cm2 BACK

Special Right Triangles - 500 Solve for x and y.

Answer y = 4 3 X = 12 BACK

Trig - 100 Using the triangle below to write the correct fraction for the corresponding trig ratios.

Answer Sin A = 4 9 Cos A = 7 9 Tan A = 4 7 BACK

Trig - 200 When do you use the inverse of a trig function?

When solving for the angle. Answer When solving for the angle. BACK

Trig - 300 Solve for x. Round to the nearest hundredth.

Answer 25.41 BACK

Trig - 400 Solve the triangle below. Round your answers to the nearest tenth.

Answer b = 4 m∠A = 36.9° m∠B = 53.1° BACK

Trig - 500 Find the area of the triangle below. Round your answer to the nearest hundredth.

Answer 32.36 BACK

Angles of Elevation & Depression - 100 Which angle is the angle of depression from the airplane to the island?

Answer ∠2 BACK

Angles of Elevation & Depression - 200 A plane at an altitude of 7000 ft is flying in the direction of an island. If angle of depression is 21° from the plane to the island, what is the horizontal distance until the plane flies over the island? Round to the nearest hundredth.

Answer 18235.62 ft BACK

Angles of Elevation & Depression - 300 Mike Patterson looks out the attic window of his home, which is 25 ft above the ground. At an angle of elevation of 52° he sees a bird sitting at the very top of the large high rise apartment building down the street. How tall is the high rise apartment building, if the two buildings are 100 ft apart (round to the nearest foot)?

Answer 153 ft BACK

Angles of Elevation & Depression - 400 A firefighter on the ground sees the fire break through a window. The angle of elevation to the window sill is 62°. The angle of elevation to the top of the building is 70°. If the firefighter is 30 ft from the building, what is the distance from the roof to the fire on the window sill (to the nearest foot)?

Answer 26 ft BACK

Angles of Elevation & Depression - 500 From a lighthouse 150 ft above sea level, the angle of depression to a boat is 34°. A short time later the boat has moved closer to the shore and the angle of depression measures 38°. How far (to the nearest foot) has the boat moved in that time?

Answer 30 ft BACK

Law of Sines & Law of Cosines - 100 Which law would be used in the figure below?

Answer Law of Cosines BACK

Law of Sines & Law of Cosines - 200 Solve for side c in the triangle below. Round to the nearest whole number.

Answer 29 BACK

Law of Sines & Law of Cosines - 300 Solve for ∠A in the figure below. Round to the nearest degree.

Answer 104° BACK

Law of Sines & Law of Cosines - 400 Solve the triangle below. Round all answers to the nearest tenth.

Answer a = 39.8 m∠B = 56.4° m∠C = 73.8° BACK

Law of Sines & Law of Cosines - 500 Solve for m∠C in ∆ABC given the following information: m∠A = 35°, a = 15 cm, c = 18 cm

Answer 2 answers: 43.5° and 136.5° BACK