Goniometry and trigonometry - practice problems - page 7 of 32
Number of problems found: 629
- 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 = - Sun and shadow
The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon? - KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Regular n-gon
Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm? - ISO trapezium
Calculate the area of an isosceles trapezoid with base 50 long, leg 12 long, and with the angle between the base and leg 70 degrees. - 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. - Kites
Boys run kites on a cable of 68 meters long. What is the kite altitude if the angle from the horizontal plane is 72°? - Mirror
The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall? - 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? - 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. - 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. - Triangle TBC
TBC is an isosceles triangle with base TB with base angle 75° and legs length |TC| = |BC| = 35. How long is the base TB? - Octagon
We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Trapezoid area angle
Calculate the area of the isosceles trapezoid ABCD if a = 14 cm, c = 8 cm, and the size of the angle DAB is 52 °. - What is 19
What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm? - 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.
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