Goniometry and trigonometry - practice problems - page 7 of 32
Number of problems found: 634
- Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - Big tree
You are standing 20 feet away from a tree, and you measure the elevation angle to be 38°. How tall is the tree? - Triangle angle sides
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. - Angle of diagonals
Calculate the perimeter and area of a rectangle whose diagonal is 14 cm and whose diagonals form an angle of 130°. - The cable car
The cable car is 2610 m long and rises at an angle of 35°. Calculate the height difference between the lower and upper station of the cable car. - Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c = - Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference. - Cable car altitude
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Nine-gon
Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 18 cm. - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Octagon
We have a square with side 56 cm. We cut the corners to create a regular octagon. What is the side length of the octagon? - Nonagon
Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10 cm. - Triangle tangent area
The tangent of the angle formed by the adjacent sides of the triangle ABC (side a=29 m, b = 40 m) equals 1.05. Calculate the area of that triangle. - Big tower
From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place? - Circumscribed decagon
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this decagon. - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
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