# Rectangle

Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.

Result

|GN| =  13.29 cm
|QN| =  28.31 cm

#### Solution:

$\alpha = 28 ^\circ \ \\ a = |HN| = 25 \ cm \ \\ \tan \alpha = \dfrac{ b }{ a } \ \\ \ \\ b = |GN| = a \tan \alpha = 13.29 \ \text{ cm }$
$\cos \alpha = \dfrac{ a }{ u } \ \\ u= |QN| = \dfrac{ a }{ \cos \alpha } = 28.31 \ \text{ cm }$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

## Next similar math problems:

1. Tv screen
The size of a tv screen is given by the length of its diagonal. If the dimension of a tv screen is 16 inches by 14 inches, what is the size of the tv screen?
2. Umbrella
Can umbrella 75 cm long fit into a box of fruit? The box has dimensions of 390 mm and 510 mm.
3. Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
4. Height 2
Calculate the height of the equilateral triangle with side 38.
5. Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60° and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
6. Right triangle
It is given a right triangle angle alpha of 90 degrees beta angle of 55 degrees c = 10 cm use Pythagorean theorem to calculate sides a and b
7. Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
8. The cable car
The cable car has a length of 3,5 kilometers and an angle of climb of 30 degrees. What is the altitude difference between Upper and Lower Station?
9. 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach?
11. If the
If the tangent of an angle of a right angled triangle is 0.8. Then its longest side is. .. .
12. One side
One side is 36 long with a 15° incline. What is the height at the end of that side?
13. Building
The building I focused at an angle 30°. When I moved 5 m building I focused at an angle 45°. What is the height of the building?