Goniometry and trigonometry - practice problems - page 9 of 32
Number of problems found: 634
- Maple
The maple peak is visible from a distance of 7 m from the trunk from a height of 1.8 m at an angle of 46°. Find the height of the maple. - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Triangle angles
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles. - Right Triangle Angle
In a right triangle ABC, hypotenuse c = 8 cm and leg b = 4 cm. What is the size of angle α? - Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse? - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees. - The cable car
The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations? - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Triangle side
I have a circle with a diameter of 6.4 cm. I need to find out the length of the side of an equilateral triangle inscribed in a circle. - 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 = ... - Sine
In the triangle Δ ABC, if sin α =0.6 and sin β =0.7 Calculate sin γ. - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - Depth angle
Determine the height of the cloud above the lake's surface if we see it from place A at an elevation angle of 20° 57'. From the same place A, we see its image in the lake at a depth angle of 24° 12'. Observation point A is 115 m above the lake level. - Circular sector
I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector? - The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
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