Angle + triangle - practice problems - page 4 of 44
Number of problems found: 862
- Difference 4050
Calculate the size of the interior angles of a triangle if the size of the second angle is 120 degrees less than twice the size of the first angle and the size of the third angle is equal to the difference between the sizes of the first and second angles. - Decimeters 3594
From a distance of 36 meters from the chimney base, its top can be seen at an angle of 53 °. Calculate the chimney height and the result round to whole decimeters. - 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? - Viewing angle
The observer sees a straight fence 60 m long at a viewing angle of 30°. It is 102 m away from one end of the enclosure. How far is the observer from the other end of the enclosure?
- Raindrops
The train runs at a speed of 14 m/s, and raindrops draw lines on the windows, which form an angle of 60 degrees with the horizontal. What speed do drops fall? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Triangle ABC
In a triangle ABC with the side BC of length 2 cm. Point K is the middle point of AB. Points L and M split the AC side into three equal lines. KLM is an isosceles triangle with a right angle at point K. Determine the lengths of the sides AB, AC triangle A - Triangle 8027
Side a in the right triangle has size a = 120 mm, angle A = 60°. How big is the hypotenuse c? - Toboggan 5710
The length of the toboggan run is 60 m, and the height is 8 m. The boy pulls a sled weighing 15 kg. How hard does the boy pull the sled uphill?
- Tree
Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree? - Clouds
From two points, A and B, on the horizontal plane, a forehead cloud was observed above the two points under elevation angles 73°20' and 64°40'. Points A and B are separated by 2830 m. How high is the cloud? - Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb). - Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence? - Difference 81888
The ropeway climbs at an angle of 22°30'. Calculate its length if the height difference between the lower and upper station is 560m. Sketch a picture
- Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - The pond
We can see the pond at an angle of 65°37'. Its endpoints are 155 m and 177 m away from the observer. What is the width of the pond? - Right triangle
It is given a right triangle angle alpha of 90 degrees the beta angle of 55 degrees c = 10 cm use the Pythagorean theorem to calculate sides a and b - Internal and external angles
Calculate a triangle's remaining internal and external angles if you know the internal angle γ (gamma) = 34 degrees and one exterior angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles. - Tourist 39691
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40 °?
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