Right Triangle Test
- was given today
- 135 points
- if you were absent, it is YOUR responsibility to see me BEFORE class begins to make up this test. Once class begins, your opportunity to make this up ceases to exist
Trig Pre Test Word Problems (round all answers to the nearest tenth!)
(make sure you do your work in nice pretty boxes like the Student A example I showed you in class. I will be collecting this so make sure it is done! You will be taking the 2nd half of the Trig Test tomorrow so use the following problems to prepare for it!)
- Find the area of a triangular plot of land measuring 12 ft by 22 feet by 15 feet.
- A tree is growing vertically on a hillside that is inclined at an angle of 6 degrees to the horizontal. The angle of elevation to the sun is 52 degrees. If the tree stands 80 feet tall, how long is the shadow that it casts upon the slope?
- The angle of elevation from a ship to the top of a 90 meter lighthouse on the shore is 17 degrees. How far is the ship from shore?
- Peter is flying a kite with 125 meters of kite strung out. His kite makes an angle of 47 degrees with the level ground. How high is the kite?
- A 27 meter pole is leaning against a wall. The foot of the pole is 6 meters from the wall. Find the measure of the angle the pole makes with the ground.
- Smokey the Bear is an employee of the US Forestry Service and has been instructed to measure the heights of the taller trees in his sector. Using a transom, he measures the angle of elevation of the first tree to be about 63 degrees. He walks 44 paces to the base of the tree. If each pace is 0.8 meters, how tall is the tree?
- Air traffic controller I. C. Plains must quickly caluclate the height of an incoming jet. To do this, he records the jet's angle of elevation to be 16 degrees. If the jet signals that its land distance (aka distance on land aka ground distance) is 108 km from the base of the control tower, calculate the height of the plane. (ignore the height of the tower)
- An operator at the top of a lighthouse sights a sailboat. the point from which the sighting is made is 37 meteres above sea level. The angle of depression of the sighting is 22 degrees. How far is the boat from the base of the lighthouse?
- A support wire is attached to the top of a 115 meter radio tower. The wire is 215 meters long. Find the measure of the angle of elevation of the wire from the ground to the top of the tower.
- Find the measure of angle B in triangle ABC given the measure of angle A is 32 degrees, AC = 56 cm and BC = 45 cm.
- Find the area of triangle ABC in problem #10.
- Find the perimeter of triangle ABC in problem #10.
- Find the length of side DE in triangle DEF if given the measure of angle F is 72 degrees, DF = 53 and EF = 44.
- Find the area of traingle DEF in problem #13.
- Suppose you are canoeing due east across a river at 4 miles per hour. If the river is flowing south at 3 miles per hour, what are the resultant direction and speed of the canoe?
- Ms. Chan, while searching for her golf ball in the trees, spots a large cone of wood chips. She determines that the height of the cone is 10 meters and the slant height is 14 meters. What angle does the wood chip pile make with the ground? What is the circumference? Use pi = 3.14
Answers to Trig Pre Test
- 85.3 square units
- 58.1 ft
- 294.4 m
- 91.4 m
- 77.2 degrees
- 69.1 m
- 31.0 km
- 91.6 m
- 32.3 degrees
- 41.3 degrees
- 1206.9 square untis
- 182.3 units
- 57.5 units
- 1108.9 square units
- resultant direction is about 36.9 degrees south of due east and the resultant speed is 5 mph
- 45.6 degrees and circumference is about 61.5 units