# Triangle + length - practice problems

#### Number of problems found: 483

- The chimney

How high is the chimney if we see it from a distance of 60 m at an angle of 42°? - 11990 perimeter RT

A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Regular octagon pad

You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci - Bridge diagonally across the river

The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - Diagonals of rhombus

Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Perimeter of a triangle

If the perimeter of a triangle is 6 2/3 cm and the lengths of two of its sides are 2 1/2 cm and 3 1/3 cm, find the length if the third side - A missile

A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises? Fps foot per second. - Michael 2

Michael has a 35 foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Distance two imaginary numbs

Find the distance between two complex number: z_{1}=(-8+i) and z_{2}=(-1+i). - Wheel gear

A drive wheel of radius 2 is connected to a drive wheel of radius 1 by a pulley of length 17. What is the distance between the wheel axles? - The rectangular

The rectangular trapezoid has bases 15 dm and 8 dm long and the length of the inclined arm is 12 dm. How long is the other arm of the trapezoid? - Calculate

Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm. - Glazing workshop

How many m² of glass are needed for glazing 48 roof arches, which have the shape of an equilateral triangle if the length of the side of the arch was 0.6 m and the height 0.52 m? - Aircraft

From the aircraft flying at an altitude of 500m, they observed places A and B (located at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B? - Woman's day

We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - Triangle's centroid

In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid) and point is S the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side to 2 d - Aircraft bearing

Two aircraft will depart from the airport simultaneously, the first with a course of 30° and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight? - ABC isosceles

ABC isosceles rights triangle the length or each leg is 1 unit what is the length of the hypotenuse AB in the exact form - Metal washers

Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet. - A trapezoid

A trapezoid with a base length of a = 36.6 cm, with angles α = 60°, β = 48° and the height of the trapezoid is 20 cm. Calculate the lengths of the other sides of the trapezoid.

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