# Sine - math word problems - page 12 of 13

#### Number of problems found: 252

- Observer

The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence? - Triangle and its heights

Calculate the length of the sides of the triangle ABC if v_{a}=5 cm, v_{b}=7 cm and side b are 5 cm shorter than side a. - Equilateral triangle

How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 19 cm from it? - Triangle in circle

Vertices of the triangle ABC lies on a circle with radius 3 so that it is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - IS triangle

Calculate interior angles of the isosceles triangle with base 40 cm and legs 22 cm long. - Rhombus

Internal angles of a rhombus are in ratio 2:3. How many times is the shorter diagonal longer than the side of the rhombus? - Angles

Find the interior angles of a rhombus with area 319.1 cm² and perimeter 72 cm. - Regular 5-gon

Calculate the area of the regular pentagon with side 7 cm. - Trapezoid MO

The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Rhomboid

Calculate the circumference and area of the rhomboid with sides 20 and 14, with their angle 50°. - Cotangent

If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Diagonal

Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°. - Right

Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Pentagon

Calculate the area of a regular pentagon, which diagonal is u=16. - Cuboid

Find the dimensions of cuboids a, b, and c; if diagonal d=9 dm has an angle with edge α=55° and has an angle with edge b β=58° - Mast

Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'. - Arc and segment

Calculate the length of circular arc l, area of the circular arc S_{1}and area of circular segment S_{2}. The circle's radius is 11, and the corresponding angle is (2)/(12) π. - Height 2

Calculate the height of the equilateral triangle with side 48. - Octagon

We have a square with a side 56 cm. We cut corners to make his octagon. What will be the side of the octagon? - Trigonometric functions

In the right triangle is: tg α= frac(2) 1 Find the value of s and c: sin α= (s)/(√ 5) cos α= (c)/(√ 5)

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