# Mast

Mast has 17 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.3°. Determine the height of the mast, if the sun above the horizon is at angle 44°30'.

Result

h =  19.23 m

#### Solution:

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

Be the first to comment!

#### To solve this example are needed these knowledge from mathematics:

Do you want to convert length units? See also our right triangle calculator. 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.

## Next similar examples:

1. IS triangle
Calculate interior angles of the isosceles triangle with base 38 cm and legs 26 cm long.
Between cities A and B is route 13 km long of stúpanie average 7‰. Calculate the height difference of cities A and B.
3. Height difference
What height difference overcome if we pass road 1 km long with a pitch21 per mille?
4. Right triangle
Calculate the missing side b and interior angles, perimeter and area of ​​a right triangle if a=10 cm and hypotenuse c = 16 cm.
5. Trapezoid MO
The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
6. Regular 5-gon
Calculate area of the regular pentagon with side 7 cm.
7. 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.
8. Steeple
Steeple seen from the road at an angle of 75°. When we zoom out to 25 meters, it is seen at an angle of 20°. What is high?
9. Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
10. Church tower
Archdeacon church in Usti nad Labem has diverted tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Result write in degree's minutes.
11. Trigonometric functions
In right triangle is: ? Determine the value of s and c: ? ?
12. Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: ?
13. Rectangle
Calculate the length of the side GN and diagonal QN of rectangle QGNH when given: |HN| = 25 cm and angle ∠ QGH = 28 degrees.
14. Angle between lines
Calculate the angle between these two lines: ? ?
15. Railway
Railway line had on 5.8 km segment climb 9 permille. How many meters track ascent?
16. Sphere in cone
A sphere of radius 3 cm desribe cone with minimum volume. Determine cone dimensions.
17. Q-Exam
If tg α = 0.9, Calculating sin α, cos α, cotg α .