Goniometry and trigonometry - practice problems - page 8 of 29
Number of problems found: 563
- Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°. - Pentagon
Calculate the area of a regular pentagon, which diagonal is u=16. - 'Calculate 6224
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x. - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Hole's angles
I am trying to find an angle. The top of the hole is .625", and the bottom of the hole is .532". The hole depth is .250". What is the angle of the hole (and what is the formula)? - Sine
In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ. - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°.
- Parallelogram 49383
The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72 °. Calculate the area of the parallelogram. - Elevation 80869
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39° 25''. 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''. How tall is the tow - The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°? - Scalene triangle
Solve the triangle: A = 50°, b = 13, c = 6 - Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two
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