Triangle - high school - practice problems - page 24 of 51
Number of problems found: 1006
- Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud? - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Horizontal 66434
The lower station of the cable car in Smokovec is at an altitude of 1025m, and the upper station at Hrebienk is at an altitude of 1272m. Calculate the climb of the cable car if the horizontal distance between the slopes is 1921m. - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse? - Tetrahedron 5844
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - Elevation 80866
Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Building 67654
The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15 °. How wide is the river? - Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures. - Road
Between cities A and B is a route 13 km long of average 7‰ stúpanie. Calculate the height difference between cities A and B. - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - The tractor
The tractor sows an average of 1.5 ha per hour. In how many hours does it sow a rectangular trapezoid field with bases of 635m and 554m and a long arm of 207m? - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Cube - angles
Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and the cube base. - SAS triangle
The triangle has two sides, long 7 and 19, and makes included angle 110°42'. Calculate the area of this triangle. - Trapezium internal angles
A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D. - Standing 22821
The heating plant sees the observer standing 26 m from the bottom of the chimney and sees the top at an angle of 67 °. How high is the chimney of the heating plant? - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides.
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