Planimetrics - math word problems - page 160 of 178
Number of problems found: 3544
- Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm
- Telegraph poles
The bases of two adjacent telegraph poles have a height difference of 10.5 m. How long do the wires connect the two poles if the slope is 39° 30’?
- Aircraft
From the aircraft flying at an altitude of 500m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
- Calculate 5121
Calculate the height of the tree - data - from a distance of 41m at an angle of 15 degrees. I will see it in its entirety.
- The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above 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?
- Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond.
- Depth angle
From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?
- Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees.
- Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it?
- Horizontal 83362
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters.
- Pentadecagon
Calculate the area of a regular 15-side polygon inscribed in a circle with a radius r = 4. Express the result to two decimal places.
- 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.
- Triangle ABC v2
The area of the triangle is 12 cm square. Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x.
- 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?
- Circumference 26361
The ABCD diamond has a circumference of 72 cm. The longer diagonal of the animal with the line segment AB angle is 30 °. Calculate the area of the ABCD diamond.
- Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5.
- Circumscribed 63824
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this triangle.
- Calculate 43331
From the lookout tower, 70 meters high, we see a man at a depth angle of 15 degrees. Calculate how far one stands from the base of the lookout tower. Draw and calculate.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.