Practice problems of the right triangle

Number of problems found: 1381

Bisector 2
ABC is an isosceles triangle. While AB=AC, AX is the bisector of the angle ∢BAC meeting side BC at X. Prove that X is the midpoint of BC.
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.
Kilometers 73344
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille?
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?
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?
Big tower
From the tower, which is 15 m high, and 30 m from the river, the river's width appeared at an angle of 15°. How wide is the river in this place?
Building 67654
The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15 °. How wide is the river?
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.
Triangle's 63774
Calculate the perimeter of an isosceles triangle if the triangle's height is 15 cm and the base is 16 cm.
Iso triangle
An isosceles triangle with a base of 8 cm. Its circumference is 28 cm. Calculate the height of the triangle.
The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
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.
The chimney
How high is the chimney if we see it from a distance of 60 m at an angle of 42°?
11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
Base and longest side
The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle?
Calculate 60423
In a right triangle RST with a right angle at the vertex T, we know the lengths of two sides: s = 7.8 cm and t = 13 cm; calculate the third party r.
Fifteen-spruce 57291
A mighty gale broke the top of the fifteen-spruce spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken?
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?

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