The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body. The body stays on an inclined plane and exerts a compressive force of 70N on it. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and 8 c The lengths of corresponding sides of two rectangular triangles are in the ratio 2:5.
At the same time, a 6 m high tree standing near it casts a shadow 25 dm long.
Calculate the sizes of its interior angles.Ĭalculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. The area of the isosceles triangle is 8 cm 2, and its arm's length is 4 cm. How many percents of the area of the triangle ABC The intersection of the perpendicular and the side AB is point K. From point L, the midpoint of the side BC of the triangle, it is drawn perpendicular to the side AB. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. What is the height difference that the car went? The road sign which informs the climb is 8.7%-the car drive 5 km along this road. How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm, and Paul is from the tower distance of 20 m. Draw a triangle X'Y'Z' whose base is 8 cm long. The size of the angle at the X vertex is 45 degrees. The base of triangle XYZ has length |XY|=4cm. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tree in meters?Īn observer standing west of the tower sees its top at an altitude angle of 45 degrees. The tree's shadow is three times as long as Miro's shadow. Miro is 180 cm tall, and its shade is 1.5 m long.
Miro stands under a tree and watches its shadow and shadow of the tree. Calculate the height of the house and its distance from the church. Calculate the lighthouse distance from the sįrom the church tower's view at the height of 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Marcel lies 15 meters away from the sea (M). Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). Find what part of the ABC triangle contains the trianglĬalculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5cm.įind all right-angled triangles whose side lengths form an arithmetic sequence. In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. The male shadow caused by the beacon light is initially 5.4 meters long. The man, 180 cm tall, walks along the seafront directly to the lighthouse.
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