Angle - math word problems - page 18 of 64

Number of problems found: 1279

Parallelogram - area
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100°. What is its area?
Perimeter - triangle
Construct triangle ABC when we know a + b + c (perimeter), height to side c, and angle gamma.
Height estimation men
What is the smallest number of men we would have to choose to estimate the mean height of men with an accuracy of +, - 0.5 cm, and 95% confidence, assuming a standard deviation of 8 cm?
Trapezoid angle construction
Sestroj trapezoid ABCD, if a = 8 cm, b = 5 cm, alpha = 60 °, beta = 75 °
Diamond angle construction
Construct an ABCD diamond with side a = 4.8 cm, and the angle at vertex B is 60 °
The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
Draw triangle
Construct right triangle MNO with hypotenuse o = 5 cm and angle MNO = 37°
Raindrops
The car runs on a horizontal track at a constant speed of 20 m²-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro
Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0 cm is submerged in the cone. Find the volume of water below the sphere.
Triangle angle sides
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm.
Cosine
Cosine and sine theorem: Calculate all unknown values (side lengths or angles) from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm
Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °
The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
Angles
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4:1:0.9. Find their magnitudes.
Calculate ΔRST
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third side r.
Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle
Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6)
The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°.
Circular segment
Calculate the radius and area of the circular segment if the center angle = 106° and the length of the corresponding circular arc is l = 52 cm.

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