Triangle practice problems - page 29 of 124
Number of problems found: 2479
- Triangle's centroid
In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid), and the point S is the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side t - 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). - Difference 6029
Between the resorts is 15km, and the climb is 13 permille. What is the height difference? - 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 - Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud? - Steeple
The church tower is seen from the road at an angle of 52°. When we zoom out to 29 meters away, it can be seen at an angle of 21°. How high is it? - 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 °
- Centimeters 19103
Emma was raking leaves in the garden. During lunch, she leaned the 170 cm long rake against a tree, with the upper end reaching a height of 90 cm. How far from the tree was the bottom of the rake? Enter the result in whole centimeters. - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - 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? - Steps
Find the height between the two floors if you know that the number of steps between the two floors is 18, the gradient is 30º, and the step length is 28.6 cm. Report the result in centimeters to the nearest centimeter. - 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? - Triangle α and side
Side a in the right triangle has size a = 120 mm, angle α = 60°. How big is the hypotenuse c? - Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70. - Acceleration 2
If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem
- 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? - Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 5a +5b = 7c - Road
Between cities, A and B is a route 9 km long of average 9‰ klesanie. Calculate the height difference between cities A and B. - 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. - 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.
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See also our trigonometric triangle calculator. See also more information on Wikipedia.
