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Potpourri
Right Triangle Trig
Sine Rule
Area Formula
Cosine Rule
100

Begun as an alternative to SMS messaging and now part of Facebook, it helps a billion people keep in touch.

WHATSAPP (OR MESSENGER)

100

Suppose that you are headed toward a plateay 50 meters high.  If the angle of elevation to the top of the plateau is 20 degrees, how far are you from the base of the plateau?  Round to the nearest hundredth meter.

137.37 meters

100
In a triangle, angle A is 45 degrees, angle B is 30 degrees, side CB is 5 cm. What is the exact length of side AC?
5 sq. rt. 3 / sq. rt. 2
100
Two sides of a triangle are 7 and 9 units, the angle included between them is 120 degrees.
27.3 square units
100
Two sides of a triangle are 7 and 3 units long, the angle included between them is 52 degrees. How long is the third side?
5.70
200

Of joy, anger, thanks or begging, it's the usual tone of the piece of writing call a screed.

ANGER

200

At 10am on April 26, 2007, a building 300 feet high casts a shadow 50 feet long.  What is the angle of elevation of the Sun?  Round the answer to the nearest tenth of a degree.

80.5 degrees

200
In triangle ABC, a = 4 cm, b, = 7 cm and angle B = 80 degrees. Calculate the size of angle A and angle C and the length of side c. State to 2 d.p.
34.25 degrees, 65.75 degrees and 6.48 cm
200
Two sides of a triangle are 7 and 9 units, the angle included between them is 120 degrees.
27.3 square units
200
In triangle ABC, a = 6, c = 10 and angle B = 76 degrees. Calculate the length of the third side, correct to 2 d.p.
10.34
300

The skunk ape is Florida's version of this legendary humanoid

BIGFOOT

300

A laser beam is directed through a small hole in the center of a circle of radius 10 feet.  The origin of the beam is 35 feet from the circle.  At what angle of elevation should the beam be aimed to ensure that it goes through the hole?  Round to the nearest tenth of a degree.

15.9 degrees

300
In a triangle ABC, a = 10 cm, c = 6 cm and angle C = 30 degrees. Find two possible values of side b, giving the answers to 2 d.p.
5.34 cm and 11.98 cm
300
In a triangle ABC, a = 5 cm, b = 7 cm and angle B = 52 degrees. Find the area of the triangle, correct to 2 d.p.
17.46 sq. cm
300
Two rowers set out from the same point. One rows on a bearing of 070 degrees for 2,000 meters and the other rows on a bearing of 285 degrees for 1,800 meters. How far apart are the two rowers when they stop?
3,625 meters
400

This other term for the Holy Communion comes from the Greek for grateful.

THE EUCHARIST

400

A camera is mounted on a wall 9 feet above the floor.  What angle of depression should be used if the camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall?

14 degrees

400
To calculate the height of a building, Reni measures the angle of elevation of the top of the building as 52 degrees. He then walks 20 m closer to the building and measures the angle of elevation as 60 degrees. What is the height of the building, correct to the nearest meter?
98 m
400
The sides of a triangle are 4, 6 and 9 units long. What is the area of the triangle?
9.56 square units
400
A plane takes off at 10:00 from A and flies at 120 km/h on a bearing of 225 degrees. A second plane takes off at 10:05 from A and flies on a bearing of 100 degrees to at 90 km/h. How far apart are the planes at 10:25?
71.6 km
500

This hairstyle got its name from its popularity among rowers especially in the Ivy League.

CREWCUT

500

A plane, whose bearing is N40E.  After flying for 1/2 mile, the pilot turns 90 degrees and heads toward the southeast.  After the plane goes 1 mile in this direction, what bearing should the control tower use to locate the plane?

S76.6E

500
From a fire tower (A), a fire is spotted on a bearing of 042 degrees. From a second tower (B), the same fire is on a bearing of 348 degrees. It is known that the two towers are 23 km apart and that A is on a bearing of 297 degrees from B. How far, to the nearest kilometre, is the fire from each tower?
22 km from A and 27km from B
500
The four sides of a quadrilateral are 3.5, 4, 5 and 8 meters long, going around in this order. Determine the size of the angle between the 5-meter and 8-meter sides, if the area of the quadrilateral is 22 sq. m. State your answer to the nearest degree.
60 degrees
500
Three circles of radii 5 cm, 6 cm and 8 cm are positioned so that they externally touch one another. Their centre points are connected to form a triangle. What is the size of the largest angle in this triangle? State your answer correct to the nearest degree.
71 degrees