Goniomentry and trigonometry - examples
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.
- How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat 29°. How far is the boat from the lighthouse?
One angle of a rhombus is 136° and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
- Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.
- Triangle ABC v2
Area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
Calculate the length of side, circumference and area of a regular pentagon, which is inscribed in a circle with radius r = 6 cm.
Between cities A and B is route 3 km long of rise average 4‰. Calculate the height difference of cities A and B.
Is true equality? ?
Boys run kite on a cable of 86 meters long. What is the kite altitude, if the angle from the horizontal plane is 77°?
- Motor oil
30 liters of oil cost 28.80 Euros. How much cost a liter?
- Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long shadow have at the same time Joe if he is 1,4m tall?
- Height 2
Calculate the height of the equilateral triangle with side 43.
- Metallurgical enterprise
Metallurgical company daily produces 873 tons of cast iron. How many tons of coke it burns to melt cast iron when 17 tons of cast consumes 13 tons of coke?
18 m railway weighs 1260 kg. How much weighs 100 m of welded railways?
The longer leg of a 30°-60°-90° triangle measures 7. What is the length of the shorter leg?
The cylinder-shaped container has 80 liters of water. The water reaches 45 cm height. How many liters of water will be in a container if water level extend to a height 72 cm? Write the result in liters, write down only as a whole or decimal number.
- Side c
In △ABC a=3, b=8 and ∠C=70°. Calculate length of the side c.
The point (21, 20) is on the terminal side of angle θ. cos θ = ?
- Cable car 2
Cable car rises at an angle 39° and connects the upper and lower station with an altitude difference of 345 m. How long is the track of cable car?
- Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
The observer sees straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the another end of the fence?
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