Length - math word problems - page 150 of 158
Number of problems found: 3144
- Steamship
Between the two ports on the river is going steamship. The journey there and back takes 8:42. Downstream steamship traveling at 20 km/h, upstream 9 km/h. What is the distance between the ports?
- Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
- 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height?
- Two boats
Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface.
- Triangle
For how many integer values of x can 5, 6, and x be the lengths of the sides of a triangle?
- Segments
Which of the pairs of numbers on the number line encloses the longest segment: ...
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c.
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism?
- Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=5 cm, vb=7 cm and side b are 5 cm shorter than side a.
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
- Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 5π+20. Determine the radius of the circle arc.
- Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting?
- Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri
- Rope
Half of the rope used Mam for packaging, half of the rest got a son, half of the rest he took the father and two-fifths of what remained and got a daughter. Remained 143 cm of rope. How long was the rope at the beginning?
- Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle.
- Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm?
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