HW 4.0: Simple Triangle Trigonometry Note: pictures may not be drawn to scare. For each of the triangles below, nd 5mm}, oosi], mum), seem), MA], and outt]. l2 6 9 Given the trigonometric equation, find sing}, oasis}. main), seem}, again). and calm}. (Hint: draw a triangle.) :4 , IE 3. cosA= 4.511111: 25 In each at the following triangles, solve for the unknown sides and angles. 5 13 a 6 l4 3 It: I h r a . s h [5 E a 9. A 25-ft ladder leans against a building so that the angle between the ground and the ladder is t\". How high does the ladder reach up the side of the building? 1D.A 5tl-ft ladder leans against a building so that the base of the ladder is 15 feet from the building. What angle does the ladder make with the building? 11.The angle of elevation to the top of a building in New York is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. 12. The angle of elevation to the top of a building in Seattle is found to be t? degrees from the ground at a distance of 3 miles from the base of the building. The height of this building is see feet. What is the angle of elevation? 13.A radio tower is located 600 feet from a building. From a window in the building, a person determines that the angle of depression to the bottom of the tower is 40'" and that the angle of elevation to the top of the tower is 19". How tail is the tower? 14.11 ?D foot tall monument is located in the distance. From a window in a building. a person determines that the angle of elevation to the top of the monument is 13" and that the angle of depression to the bottom of the monument is B\". How far is the person from the monument? 15. There is an antenna on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be 4D. From the same location, the angle of elevation to the top of the antenna is measured to be 43". Find the height of the antenna. 16. Find the length x. 17. Find the length x. 370 90 74 h 60 120 1330 X 18. Find the length x. 19. Find the length x. 157 130 749 420 610 170 X 14 X 20. In traveling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 5" . After you drive 8 miles closer to the mountain, the angle of elevation is 11" . Approximate x the height of the mountain. 1 10 8 21. A plane is observed approaching your home and you assume that its speed is 570 miles per hour. The angle of elevation is 12" at one time and 63" one minute later. Approximate the altitude of the plane