# Goniometry and trigonometry - math word problems - page 21 of 22

#### Number of problems found: 436

- Pentagonal prism

The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Angle of cone

The cone has a base diameter of 1.5 m. The angle at the main apex of the axial section is 86°. Calculate the volume of the cone. - Regular quadrangular pyramid

The height of the regular quadrangular pyramid is 6 cm, the length of the base is 4 cm. What is the angle between the ABV and BCV planes? - Cube - angles

Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base. - Sun rays

If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current heig - Three vectors

The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces. - The hemisphere

The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees? - Instantaneous 69064

Describe how the instantaneous power value in the AC circuit changes during one period. - Two forces 3

Two forces of magnitude 8 Newtons and 15 Newtons respectively act at a point. If the resultant force is 17 Newtons, find the angle between the forces. - Calculate 32281

The rotating cone has a base radius r = 226mm, the deviation of the side from the base plane is 56 °. Calculate the height of the cone. - Rotary cone

The volume of the rotation of the cone is 472 cm^{3}, and the angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Two forces

Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - ----------------- 4850

v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - The roof

The roof of the tower has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long and the side wall of the animal with the base an angle of 57°. Calculate how much roofing we need to cover the entire roof, if we count on 15% waste - Determine 4876

The rotating cone has a height of 72 cm and an angle at the top of 72 °. Determine the volume of the sphere. - Cuboid diagonal

Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, c has dimensions in the ratio of 9:3:8. If you know that the diagonal wall AC is 86 cm, and the angle between AC and space diagonal AG is 25 degrees. - Aircraft 25161

The average climb angle of the aircraft is 11 ° 20', and its average speed is 400 km / h. How long does it take to climb to a height of 3000m? - Sphere in cone

A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isosceles triangl - Regular quadrangular pyramid

How many square meters are needed to cover the shape of a regular quadrangular pyramid base edge 10 meters if the deviation lateral edges from the base plane are 68°? Calculate waste 10%.

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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.