95 Angle of Ele For each situation: (1) Draw a picture (triangle), (2) write an equation, and (3) re launch place as 16. They are 180 ft above ground. Find the distance from the balloon to its launch 1) A couple is taking a balloon ride. After 25 minutes aloft, they measure the angle of depression from a sin 16= 180 x 653.03 ground 58.5 m away from the building on a line directly beneath the person. Compute the angle of deprothe 2) A person stands at the window of a building so that his eyes are 12.6 m above the level ground. As dictiss person's line of sight to the object on the ground. 12.6 5% 4 58.5 Tan=12-6 58;51 tant = 58.5 1x=1215 3) How long is a wire if it is attached to the top of a 50-ft cell tower and makes a 70° angle with the ground 70 Reflect Cenerale ransfer elebrate LIFE IS FUN WHEN YOUN HOMEWORK IS DONE 4) A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 mates from the We is the angle of elevation from the point on the ground where the cable is tied to the top of

95 Angle of Ele For each situation: (1) Draw a picture (triangle), (2) write an equation, and (3) re launch place as 16. They are 180 ft above ground. Find the distance from the balloon to its launch 1) A couple is taking a balloon ride. After 25 minutes aloft, they measure the angle of depression from a sin 16= 180 x 653.03 ground 58.5 m away from the building on a line directly beneath the person. Compute the angle of deprothe 2) A person stands at the window of a building so that his eyes are 12.6 m above the level ground. As dictiss person's line of sight to the object on the ground. 12.6 5% 4 58.5 Tan=12-6 58;51 tant = 58.5 1x=1215 3) How long is a wire if it is attached to the top of a 50-ft cell tower and makes a 70° angle with the ground 70 Reflect Cenerale ransfer elebrate LIFE IS FUN WHEN YOUN HOMEWORK IS DONE 4) A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 mates from the We is the angle of elevation from the point on the ground where the cable is tied to the top of

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 39PS: Height of a Flagpole Two people decide to estimate the height of a flagpole. One person positions...

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Height of a Balloon A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 20 and 22. How high is the balloon?
Distance Across a Lake Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such that CAB48.6. He also measures CA as 312 ft and CB as 527 ft. Find the distance between A to B.
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Angle of Elevation A man standing near a building notices that the angle of elevation to the top of the building is 64. He then walks 240 ft farther away from the building and finds the angle of elevation to the top to be 43. How tall is the building?
Height of a Flagpole Two people decide to estimate the height of a flagpole. One person positions himself due north of the pole and the other person stands due cast of the pole. If the two people are the same distance from the pole and 25 feet from each other, find the height of the pole if the angle of elevation from the ground to the top of the pole at each persons position is 56 (Figure 21). Figure 21
Speed Enforcement A police department has set up a speed enforcement zone on a straight length of highway. A patrol car is parked parallel to the zone, 200 feet from one end and 150 feet from the other end (see figure). (a) Find the length l of the zone and the measures of angles A and B (in degrees). (b) Find the minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of 35 miles per hour.
Distance Between Two Ships A pilot measures the angles of depression to two ships to be 40 and 52 see the figure. If the pilot is flying at an elevation of 35,000 ft, find the distance between the two ships.
Height of a Tower A water tower is located 325 ft from a building see the figure. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 39 and that the angle of depression to the bottom of the tower is 25. How tall is the tower? How high is the window?