# 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 dm^{2.}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? - Similarity

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? - KLMN

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. - 3-bracket

May be the largest angle in the triangle less than 70°? - Railways

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? - Diagonal

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. ? - River

Calculate how many promiles river Hudson average falls, if on section long 921 km flowing water from 1224 m AMSL to 154 m AMSL. - Arc

Circle arc corresponding to angle is 193° is 23 dm long. What is the length of the entire circle? - Clock

How many times a day hands on a clock overlap? - Minute angle

Determine size of angle, which takes minute hand for 90 minutes. - Pentagon

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. - Hexagon

Draw a regular hexagon inscribed in a circle with radius r=6 cm. What is its perimeter?

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