![]() ![]() This line, called the altitude, splits her into two smaller right triangles. Well, her height is the length from point A, where her 90° angle is, down toward her hypotenuse at point D. She's a supermodel, so she's really proud of her height. Say that a triangle at the bar, named Aybeesee (or ABC for short), wants you to guess her height. Why would a right triangle ask you about geometric means? More importantly, how would a right triangle ask you about geometric means? Take the square root, and you're back to square one. If we cross-multiply, we can solve for the geometric mean and it'll give us the definition. Now, the reason this is helpful is because it lets the triangle know you care, and it comes from a proportion that looks like this: So if you're ever at a bar (drinking a Coca-Cola or chocolate milk, of course) and a right triangle asks you to find the geometric mean of 4 and 16, you won't break a sweat. Just multiply two numbers together and take the square root. Jet flies at an average speed of 800 km/h.To find altitudes of unruly triangles, we can just use the geometric mean, which actually isn't mean at all. At that rate, he circled the Earth in 82 minutes. The first Earth satellite was flying at a speed of 8000 m/s. They already deviated from the correct direction by 5° at the start. Calculate the speed of the fighter in km/h.Īccording to the map, the scouts were supposed to proceed through the forest perpendicular to its straight edge, where the goal was 3 km away from the starting point. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. How far apart will they be in 45 minutes of flight?Ī military fighter flies at an altitude of 10 km. The first flight flies with a course of 30°, and the second with a course of 86°. Two aircraft will depart from the airport simultaneously. The distance between places AB is 14 meters. How tall is the towįind the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. If we come towards its foot 50m closer to place B, we can see the top of the tower from it at an elevation angle of 56° 42''. We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39° 25''. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return Observation point A is 115m above the lake level.įrom two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. From the same place A, we see its image in the lake at a depth angle of 24° 12'. Find the distance of the end of the trip from the starting point to the nearest kilometer.ĭetermine the height of the cloud above the lake's surface if we see it from place A at an elevation angle of 20° 57'. Your task is to calculate at least how many vertices can have a ground plan viewĪ ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. If the tower is rotated by 18° around its centerpiece, it looks from the side same. The rotatable tower situated in the city center has the ground shape of a regular polygon. The temperature in city B was 40° and rose at a constant rate of 10° per hour. The temperature in town A was 60 degrees And rose at a constant rate of 2 degrees per hour. We measured the temperatures of the two cities at the same time. ![]() Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41☀3'. The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. How far apart will they be as the crow flies in 25 minutes of flight? The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. ![]() Two planes took off from Prague at one point. The aircraft flying just above point A can be seen from observation B, 2,400 meters away from point A, at an altitude of 52☃0'. Calculate the distance it flies between these two At the time of the first measurement, it was seen at an elevation angle of 28° and during the second measurement at an elevation angle of 50°. The plane flies at an altitude of 22.5 km to the observatory. What is the distance between places A and B? Calculate the distance the plane flew between the two measurements.įrom the aircraft flying at an altitude of 500m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. We encourage you to watch this tutorial video on this math problem: video1 video2 Related math problems and questions: ![]()
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