Goniometry and trigonometry - practice problems - page 9 of 32
Number of problems found: 624
- A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
- Inscribed and described circle
Find the radii of a circle inscribed and circumscribed by a regular pentagon whose side measures 3 cm.
- Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it?
- Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse?
- In the 18
In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degrees. How long is BC to the nearest centimeter?
- Cis notation
Evaluate the multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation.
- 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.
- One side
One side is 36 long with a 15° incline. What is the height at the end of that side?
- Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm.
- Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height?
- Chimney - view angle
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53°. Calculate the chimney height and the result round to whole decimeters.
- Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302.
- 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°.
- Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
- Approaches 45521
The observer lies on the ground at a distance of 20m from a hunting lodge 5m high. A) At what angle of view does the posed see? B) How much does the angle of view change if it approaches the sitting by 5m?
- Telegraph poles
The bases of two adjacent telegraph poles have a height difference of 10.5 m. How long do the wires connect the two poles if the slope is 39° 30’?
- Circumference 26361
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
- An angle
An angle x is opposite side AB which is 10, and side AC is 15, which is the hypotenuse side in triangle ABC. Calculate angle x.
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