Triangle - practice for 14 year olds
Number of problems found: 243
- A construction
A construction worker is trying to find the height of a skyrise building while standing some distance away from the base of the building with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees and that of the tree is 30 degrees. If the distance between the car and the tree is 100 m, find Maggie's distance from the tree. - A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. If the string makes an angle of 38° with the ground and the flagpole is 8 m long, what is the length of the string? - Calculate 72624
The perimeter of the ABC triangle is 19.6 cm. The following applies to the lengths of its sides: a: c = 1: 2, b: c = 5: 6. Calculate the lengths of all sides of the triangle ABC. - The airplane
The airplane sights a runway at an angle of depression of 23° and is flying at an altitude of 3 kilometers from the ground. What is the horizontal distance of the airplane from the airport? - 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? - Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles. - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4: 6: 5. Determine the lengths of its sides. - Isosceles 71154 Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α
- Calculate 68394
The sizes of the interior angles of the triangle are in the ratio of 3: 4: 5. Calculate these angles. - Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - Perimeter 66414
The perimeter of triangle ABC is 162 dm. The lengths of its sides are in the ratios a: b = 2: 3 and a: c = 8: 7. Determine the lengths of the sides of the triangle. - Calculate 60993
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm. - Two angles 2
Two angles of a triangle have the same measure and the third one is 45 degrees greater than the measure of each of the other two. Find the measure of the largest angle in the triangle. - Sides in ratio
The sides of the triangle are in a ratio of 2: 6: 5. Find the dimensions of the remaining sides if the longest side is 32 cm. - In the 18
In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degree. How long is BC to the nearest centimeter? - Michael 2
Michael has a 35 foot ladder leaning against the side of his house. If the bottom of the ladder is 21 feet away from his house, how many feet above the ground does the ladder touch the house? - Calculate triangle
In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm - Altitude angles
Cities A, B, C lie in one elevation plane. C is 50 km east of B, B is north of A. C is deviated by 50° from A. The plane flies around places A, B, C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Find the altit - Calculate 35223
In the ABC triangle, the angles alpha, beta, and gamma are in ratio 0.4: 0.2: 0.9. Calculate their size.
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