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Presentation transcript:

Right as Rain Ambiguous Anomaly Solving Sleuth Application Action Trigonometry Treat

Right as Rain - $100 The sides of an isosceles triangle are 5, 10, and 10 cm. Find the measures of its angles.

Right as Rain - $200 The angle of depression from the top of a tree to a point on the ground 100 meters from its base is 28 . How tall is the tree?

53.17 m

Right as Rain - $300 If tan  = 7/6, evaluate cos .

Right as Rain - $400 A sonar operator on a cruiser detects a submarine at a distance of 500 m and an angle of depression of 37 . What is the depth of the submarine?

m

Right as Rain - $500 The angle of elevation from point A to the top of a tower is 40 . The angle of elevation from point B to the top of the tower is 54 . If the distance from A to B is 10 feet, find the height of the tower.

21.50 feet

How many solutions does the following triangle have? m  C = 55 , a = 11, c = 18 Ambiguous Anomaly - $100

One solution

Ambiguous Anomaly - $200 How many solutions does the following triangle have? m  B = 74 , a = 5, b = 4

No solutions

Ambiguous Anomaly - $300 How many solutions does the following triangle have? m  C = 52 , b = 8, c = 7

Two solutions

Ambiguous Anomaly - $400 If m  A = 23  and c = 17, find the length of a such that the triangle has no solutions.

0 < a < 6.64

Ambiguous Anomaly - $500 If m  C = 34  and b = 46, find the length of c such that the triangle has two solutions.

25.72 < c < 46

Solving Sleuth - $100 Solve  RST if m  R = 75 , m  S = 45 , and t = 3.

m  T = 60 , r = 3.35, and s = 2.45

Solving Sleuth - $200 Solve  ABC if a = 10, b = 11, and c = 12.

m  A = 51.3 , m  B = 59.2 , and m  C = 69.5 

Solving Sleuth - $300 Solve  PQR if m  P = 50 , q = 6, and r = 7.

m  Q = 55.6 , m  R = 74.4 , and p = 5.57

Solving Sleuth - $400 Solve  ABC if a = 17, b = 10, and c = 21.

m  A = 53.1 , m  B = 28.1 , and m  C = 98.8 

Solving Sleuth - $500 Solve  XYZ if m  X = 21.1 , x = 6, and y = 9.

m  Y = 32.7 , m  Z = , and z = and m  Y = , m  Z = 11.6 , and z = 3.35

Application Action - $100 Find the area of a parallelogram that has sides measuring 23 and 15 meters and an included angle of 37 .

square meters

Application Action - $200 A triangle has two sides measuring 36 and 10 units in length and an area of 24 square units. What is the measure of the included angle?

7.7  or 

Application Action - $300 Find the area of a regular decagon inscribed in a circle with a radius of 11 inches.

square inches

Application Action - $400 Find the lengths of the diagonals of a parallelogram that has sides measuring 11 and 18 meters and an included angle of 112 .

17.22 and units

Application Action - $500 Find the area of the figure shown  

square units

Trigonometry Treat - $100 How many solutions does the following triangle have? m  A = 63 , a = 3, b = 8

No solutions

Trigonometry Treat - $200 Solve  ABC if m  A = 100 , m  C = 30 , and c = 8.

m  B = 50 , a = 15.76, and b = 12.26

Trigonometry Treat - $  Find the area of the figure shown.

square units

Trigonometry Treat - $400 Two surveyors need to find the area of a triangular property. They start from a common point. Surveyor #1 walks 320 feet at a bearing of N64  E. Surveyor #2 walks for 270 feet at a bearing of S5  W. What is the distance between them?

feet

Trigonometry Treat - $500 Find the length of the median from  A to in  ABC if a = 8, b = 4, and c = 6.

units