TRIG TRIANGLE WORD PROBLEMS #2

100 downloads 536 Views 20KB Size Report
TRIG TRIANGLE WORD PROBLEMS #2. 1) The length of the base of an isosceles triangle is 81 cm. The sides meet at a. D. 4.72 angle. Find the measure of the ...
Trig Triangle Word Problems #2 1) The length of the base of an isosceles triangle is 81 cm. The sides meet at a 72.4 D angle. Find the measure of the congruent sides. 2) Two streets meet at an angle of 52 D . If a triangular lot has frontages of 60 meters and 65 meters on the two streets, what is the perimeter of the lot?

3) To illuminate the entrance of a building, a night-light is mounted on a 6.6-meter pole. If the base of a pole is 24 meters from the entrance, find the angle of depression from the light. 4) The lengths of the sides of a triangular plot are 400 feet, 500 feet, and 700 feet. Find the measure of the smallest angle. 5) The largest doors in the world are located in the Vehicle Assembly Building near Cape Canaveral, FL. If the angle of elevation from a point on the ground, that is 199 feet from the base of the doors is 66.6 D , how high are the doors? 6) A television antenna stands on the edge of the top of of a 52-story building. From a point 320 feet from the base of the building, the angle of elevation to the top of the antenna is 64 D . If each story is 12 feet high, find the height of the antenna. 7) A hot air balloon is flying above Manasquan. To the left side of the balloon, the pilot measures the angle of depression to the soccer fields to be 21D . To the right side of the balloon, the pilot measures the angle of depression to the football field to be 63.7 D . The distance between the two fields is 1,642 km. Find the distance from the balloon to the soccer fields. 8) The height of an isosceles triangle is 8 cm and its base is 4 cm long. Find all the angles of the triangle. 9) Andy and Kyle leave Las Vegas at the same time. Andy drives south at 82 mph and Kyle drives southeast at 71.3 mph. How far apart are the two guys after 3 ½ hours? 10) From a point 78 feet from the base of a tree, the angle of elevation to a cat in the tree is 32 D . The angle of elevation to the top of the tree is 72.8 D . Find the distance from the cat to the top of the tree. 11) A slide rises 28.2 feet above the ground. The length of the slide is 47.4 feet. Find the slide’s angle of inclination. 12) An oil tanker and a cruise ship leave port at the same time and travel straight-line courses at 10 mph and 25 mph respectively. Two hours later they are 40 miles apart. What is the angle between their courses?

13) Two roads intersect at an angle of 102.1D . Christine’s mailbox is 476 feet from the intersection. George’s mailbox is on the other road and is 615 feet from the intersection. How far is it from Christine’s mailbox to George’s mailbox? 14) Two planes leave an airport at the same time, one flying due west at 500 km/h and the other flying due southeast at 300 km/h. What is the distance between the planes two hours later?