Goniometry and trigonometry - practice problems - page 6 of 32
Number of problems found: 634
- Parallelogram - two sides
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. - Tower distance
From the lookout tower, 70 meters high, we see a man at a depth angle of 15 degrees. Calculate how far one stands from the base of the lookout tower. Draw and calculate. - The right triangle
In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles. - Isosceles triangle
Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm. - Ladder height calculation
The 8-meter-long ladder is attached to the wall at an angle of 22 °. How high does it reach? - 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)? - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole? - ABCD
AC= 40 cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD - Parallelogram
We know about parallelogram ABCD: length |AB| = 76 cm, |BC| = 44 cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Kites
Boys fly kites on cables 68 metres long. What is the altitude of a kite if the cable makes an angle of 72° with the horizontal? - Jewel
A rhombus-shaped jewel has an area of 23 mm² and a side length of 5.9 mm. Calculate the size of the acute angle of the rhombus. - Sun and shadow
The pole is stuck vertically into the ground. The protruding length is 1 m. What is the length of the shadow cast when the sun is just 50° above the horizon? - Aircraft altitude calculation
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly? - KLM triangle
Find the length of the sides of the triangle KLM if m = 5 cm height to m = 4.5 cm and size MKL angle is 70 degrees. - Tree height
Calculate the height of the tree - data - from a distance of 41 m at an angle of 15 degrees. I will see it in its entirety. - Regular n-gon
Which regular polygon has a circumscribed circle radius of r = 10 cm and an inscribed circle radius of p = 9.962 cm?
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