Goniomentry and trigonometry - problems
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.
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
Rhombus-shaped jewel have area of 86 mm2 and the edge in long 10 mm. Calculate the size of rhombus acute angle.
- n-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
Calculate area of the parallelogram ABCD as shown if |AB| = 45 cm, |BC| = 23 cm and angle BAD = 30°
- Side c
In △ABC a=3, b=8 and ∠C=70°. Calculate length of the side c.
- Triangle and its heights
Calculate the length of the sides of the triangle ABC, if va=13 cm, vb=17 cm and side b is 5 cm shorter than side a.
Triangle shaped field (triangle ABC) has side AB = 51 m. path XY is parallel to the side AB which divided triangle ABC into two parts with same area. What will be the length of the path XY? Help please geodesist ...
- Glass of juice
Glass of juice shaped cylinder 16 cm height and base diameter of 10 cm is filled with juice so that the level is 3 cm below the rim of the glass. Determine the maximum angle of the cup can be tilted and juice don't overflow.
- Triangle TBC
TBC is isosceles triangle with base TB with base angle 52° and legs length |TC| = |BC| = 30. How long is the base TB?
The plane flies at altitude 6800 m. At the time of first measurement was to see the elevation angle of 20° and second measurement of the elevation angle of 34°. Calculate the distance the plane flew between the two measurements.
Calculate the area of the triangle ABC if b = c = 20 cm, R = 21 cm (R is the circumradius).
- Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 9 cm, height v = 14 cm and |CAB| = 29°. Calculate area of the trapezoid.
At the glass shop we have to cut 8 sheets of glass. Each was shaped a square with sides of 18 cm. We paid 44 CZK. How much is a 1 m2 of glass?
The point (21, 20) is on the terminal side of angle θ. cos θ = ?
Ball was fired at an angle of 33° at initial velocity 419 m/s. Determine the length of the litter. (g = 9.81 m/s2).
Calculate the area of right triangle ΔABC, if one leg is long 12 and its opposite angle is 31°.
A 2 kg of apples cost a certain sum of money. This sum is equal to the amount of kilograms for which we pay 72 CZK. How much is 1 kg of apples?
Five painters painting the fence for eight days. How many days over will take work if paint the fence only four decorators?
- Regular 5-gon
Calculate area of the regular pentagon with side 11 cm.
Mast has 9 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.8°. Determine the height of the mast, if the sun above the horizon is at angle 36°6'.
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