# Goniometry and trigonometry - math problems

#### Number of problems found: 440

• 15% of
15% of the revenue from sales was CZK 24,000 and it had to be written off as sales tax. What was the net profit on sales?
• Proportional relationship
The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
• Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s.
• 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.
• Coke and coal
20.1 tons of coke is produced from 30 tons of black coal. How much coke is made from 1 kilogram of coal?
• Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. “How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have?
• Mr. Ben
Mr. Ben drives bricks to the construction site. If he drove three times a day, he would make bricks in 8 days. How many times a day would he go every day to be done 2 days earlier?
• Everyone drinks the same
24 bricklayers drink 72 beverage bottles a day at the construction site. How many bottles would 19 bricklayers need? Everyone drinks the same.
• Right triangle
A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
• Find the
Find the content of a regular 12 sided polygon, if its side a = 12 cm.
• Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long at the same time.
• The straight
The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m?
• Gears
The front gear on the bike has 32 teeth and the rear, on the wheel, has 12 teeth. How many times does the bike's rear-wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
• Olive seeds
5 kg of oil is pressed from 100 kg of seeds. How many kgs of seeds do we need to produce 85 kg of oil?
• Poplar shadow
The nine-meter poplar casts a shadow 16.2 m long. How long does a shadow cast by Peter at the same time, if it is 1.4 m high?
• A family
A family of four consumes 220 liters of water a day. How many hectoliters of water are consumed by 68 tenants per day?
• Reading
If I read 15 pages a day, I will read the whole book in 18 days. How long will it take to read a book if I only read 9 pages every day?
• Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the surface of the ball and the contents of the base is 4: 3. A plane passing through the axis of a cone cuts the cone in an isoscele
• Diggers
Eight diggers will do the job in 85 hours. After 21 hours, 3 diggers had to leave. How many hours will the work be done?
• Powerplant chimney
From the building window at the height of 7.5 m, we can see the top of the factory chimney at an altitude angle of 76° 30 ′. We can see the chimney base from the same place at a depth angle of 5° 50 ′. How tall is the chimney?

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Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.