Right triangle practice problems - page 12 of 84
Number of problems found: 1671
- 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
There is the 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 tr
- 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?
- Horizontal 3166
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them.
- Right-angled 81150
In the right-angled triangle ABC (the right angle at vertex C), the angle ratio is α : β = 5 : 3. Calculate the sizes of these angles and convert them to degrees and minutes (e.g., 45°20')
- Position 19113
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po
- Difference 6469
The cable car rose at an angle of 15 °. The height difference between the upper and lower stations is 106m. Calculate the path's length.
- Determine 5324
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c.
- 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.
- goniometric functions
Based on the fact that you know the values of sin and cos of a given angle and you know that tan (tangent) is their ratio, determine d) tan 120 ° e) tan 330 °
- Roof angle
The house's roof has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make?
- Centimeter 64224
A ladder leans against the wall. It touches the wall at the height of 340 cm, and its lower end is 160 cm away from the wall. How long is the ladder? Express the result to the nearest centimeter.
- Elevation angles
Two endpoints distant 240 m are inclined at an angle of 18°15'. The top of the mountain can be seen at elevation angles of 43° and 51° from its. How high is the mountain?
- Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm.
- Right angle
In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
- Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).
- Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?
- A missile
A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second.
- Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent)
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