Angle - math word problems - page 39 of 64

Number of problems found: 1279

Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'.
Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.
The big clock
The hands of a clock stop at a random moment. What is the probability that: a) the hour hand shows a time between 1:00 and 3:00? b) the minute hand is in the same region as the hour hand as described in part a)? c) the clock shows a time between 21:00 and
The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX?
Interior Exterior Angles Size
Calculate the sizes of the remaining inner and outer angles. Alpha with comma α '= 140 ° and beta with comma β' = 100 °.
Right Triangle Calculations
We know the right angle γ, side b = 14 cm, and height vc = 8.8 cm in the right triangle ABC. Calculate: angle α = angle β = side a = side c =
Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10 cm. Calculate the body volume.
Similar Triangles Angle Sum
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of the two angles are 25 degrees and 65 degrees. Explain why, in triangle A'B'C', the sum of the sizes of the two angles is equal to 90 degrees.
Right Triangle Sides Area
In the right triangle ABC, we know the right angle γ, the area S = 48 cm², and the side a = 8 cm. Calculate: pages b, c
Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
Drawing Similar Triangle
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4 cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
Similar Triangle Construction
In triangle ABC, |AB| = 20 cm, |BC| = 10 cm, angle A = 30°. Construct triangle A′B′C′ similar to triangle ABC with a similarity ratio of 0.5.
Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
Viewing Two Poles
Two straight paths cross, making an angle alpha = 53 degrees 30'. There are two pillars on one of them, one at the intersection, the other at a distance of 500 m from it. How far does one have to go from the intersection along the other road to see both p
In a 2
In a thirteen-sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal, and the other four are 18° less than each of the equal angles. Find the angles.
Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle.
Triangle Similarity Identity
For triangles ABC and A'B'C': alpha = alpha with a line, beta with line = beta. a) are these triangles identical? Why? b) are these triangles similar? Why?
Two angles
The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
Ditch
The ditch profile is an isosceles trapezoid with bases of length 80 m and 60 m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth.
Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the and the diagonals are perpendicular to each other.

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