Angle - examples
- Sun rays
If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current hei
- Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
- Is right?
Is triangle with sides 24, 51 and 45 right triangle?
- It is rectangular?
Size of two of the angles in a triangle are: α=60°, β=20°. Is it a right triangle?
Are two right triangles similar to each other if the first one has a acute angle 10° and second one has acute angle 50°?
- Angles 1
It is true neighboring angles have common arm?
In the trapezoid KLMN is given this informations: 1. segments KL and MN are parallel 2. segments KL and KM has same length 3. segments KN, NM and ML has same length. Determine the size of the angle KMN.
May be the largest angle in the triangle less than 70°?
Railways climb 5.8 ‰. Calculate the height difference between two points on the railway distant 2389 meters.
- Rectangular trapezoid
How many inner right angles has a rectangular trapezoid?
Can a rhombus have the same length diagonal and side?
- Isosceles trapezium
Trapezoid NXTL (NX||TL) is isosceles. The size of the angle at vertex X is 60 degrees. Calculate the size of the angle at vertex T.
- Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of its size. ?
Calculate how many promiles river Hudson average falls, if on section long 921 km flowing water from 1224 m AMSL to 154 m AMSL.
Circle arc corresponding to angle is 193° is 23 dm long. What is the length of the entire circle?
How many times a day hands on a clock overlap?
- Minute angle
Determine size of angle, which takes minute hand for 90 minutes.
Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch.
- Climb in percentage
The height difference between points A and B is 442 m. Calculate the percentage of route climbing if the horizontal distance places A, B is 6.8 km.
Draw a regular hexagon inscribed in a circle with radius r=6 cm. What is its perimeter?