Practice problems of the angle
Number of problems found: 671
- The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
In the triangle ABC, the magnitudes of the angles α, β γ are in the ratio 0.4: 1: 0.9. Find their magnitudes.
- The sum 18
The sum of the 3 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 arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm ^ 2
- Convex angle
There is a circle k (S; r) and a point A, which lies on this circle. There is also a point B on the circumference, for which it is true that in one direction it is five times further from the point A than in the opposite direction (around the circumferenc
- Circular segment
What is the radius of a circular section whose central angle is 36° and the area of S = 53.095 cm ^ 2?
- Circle segment
A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment?
- Two forces 3
Two forces of magnitude 8 Newtons and 15 Newtons respectively act at a point. If the resultant force is 17 Newtons, find the angle between the forces.
The rectangular trapezoid ABCD with right angle at the vertex A has sides a, b, c, d. Calculate the circumference and the area of the trapezoid if given: a = 25cm, c = 10cm, d = 8cm
- Two angles 2
Two angles of a triangle have the same measure and the third one is 45 degrees greater than the measure of each of the other two. Find the measure of the largest angle in the triangle.
- The temperature 17
The temperature was -5 Celsius at 6 AM. It increased force of three degree every hour for six hours the temperature then increased 1 1/2° every hour for five hours. What was the temperature at 5 PM?
- Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 d. P.
- 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.
- The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid?
- Cis notation
Evaluate multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write result in cis and Re-Im notation.
- Calculate 20
Calculate the sum of 1/5 of a right angle and 3/4 of a right angle and 3/4 of a straight angle
- Supplementary angles
(a + 30)° and (2a)° are the measure of two supplementary angles. Find the value of 'a'.
In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
- One of
One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus.
- A straight angle
A straight angle measures s, so you can subtract or add 85 from What are the measure of their angles?