Angle + reason - practice problems
Number of problems found: 64
- Magnitude of angle
What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours? - Warmer weather
This morning it was -6 °C. What temperature did the thermometer show yesterday if it was three times warmer? - Ground level
The ground-level temperature in Helsinki is 20°C lower than in London. The temperature in a basement flat in Helsinki is 5°C below the temperature at ground level. If it is -29°c in the basement, what is the temperature in London? - Classroom 81621
On a classroom clock, the large (minute) hand on the clock will travel through an angle of 120 degrees in some time. What angle does the small (hour) hand pass in this time? - A biologist
A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inches. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At - Mast
Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'. - River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river. - Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled? - Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2: 3: 5 ratio. - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle? - Hypotenuse 82331
Given a right triangle KLM with a right angle at M. What is the magnitude of the hypotenuse m if the magnitude of the normal to the hypotenuse m is 4? - Coin
How many 20-cent coins must be put in a row that the next 20-cent coins after them (above) rolled on its axis? - Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 s? - Equilateral 7962
After a long dinner, inside a lounge in the shape of a square ABCD, a drunken shopper E lies in such a way that the triangle DEC is equilateral. Spy F lies on the edge of BC, with |EB|=|EF|. What is the size of the angle CEF? - Triangle 35881
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC - (perimeter) 61854
Construct triangle ABC when we know a + b + c (perimeter), height to side c, and angle gamma.
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