Angle practice problems - page 30 of 63
Number of problems found: 1245
- Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5. - View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location? - Wall and ladder
A ladder is leaning against a wall at a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e? - View angle
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41 meter from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm - Acute angles
Sizes of acute angles in the right-angled triangle are in the ratio 1:3. What is the size of the larger of them?
- It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle? - Straight 30241
The straight road has a rise of 19%. How big is the pitch angle? - Tram - safe downhill
What is the maximum angle at which the tram can go downhill to still be able to stop? The coefficient of shear friction is f =0.15. - An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles?
- Complementary angles 2
Two complementary angles are (x+4) and (2x - 7). Find the value of x. - Descent of road
The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases. - Calculate 3209
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm. - Raindrops
The train is moving at a speed of 60 km/h. Raindrops falling vertically in the absence of wind (with uniform movement due to the action of air resistance) leave traces on the windows of the train, deviating from the vertical direction by 30°. How fast are - Perpendicular 83636
In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
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