Goniometry and trigonometry - practice problems - page 8 of 30
Number of problems found: 584
- 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? - Chord - TS
The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
- Diagonal
The diagonal of the rectangle has a length of 41.4 cm. The angle between the diagonal and longer side of the rectangle is 26°. Calculate the area of the rectangle. - 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? - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height?
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus. - 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg? - Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°. - 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. - Circular sector
I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector?
- Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Triangle
Calculate the area of the triangle ABC if b = c = 17 cm, R = 19 cm (R is the circumradius). - Greatest angle
Calculate the greatest triangle angle with sides 124, 323, 302. - 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)? - Sine
In the triangle Δ ABC, if sin α =0.8 and sin β =0.6 Calculate sin γ.
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39°25''. If we come towards its foot 50m closer to place B, we can see the top of the tower from it at an elevation angle of 56°42''. How tall is the towerDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
