Shadow of tree

Miro stands under a tree and watching its shadow and shadow of the tree. Miro is 180 cm tall and its shade is 1.5 m long. The shadow of the tree is three times as long as Miro's shadow. How tall is the tree in meters?

Result

h =  5.4 m

Solution:

h1=180 cm=180/100 m=1.8 m t1=1.5 m  t2=3⋅ t1=3⋅ 1.5=92=4.5 m  h=3⋅ h1=3⋅ 1.8=275=5.4=5.4  m h_{ 1 } = 180 \ cm = 180 / 100 \ m = 1.8 \ m \ \\ t_{ 1 } = 1.5 \ m \ \\ \ \\ t_{ 2 } = 3 \cdot \ t_{ 1 } = 3 \cdot \ 1.5 = \dfrac{ 9 }{ 2 } = 4.5 \ m \ \\ \ \\ h = 3 \cdot \ h_{ 1 } = 3 \cdot \ 1.8 = \dfrac{ 27 }{ 5 } = 5.4 = 5.4 \ \text{ m }

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Ruler
    pravitko_1 How far from Peter stands 2m hight John? Petr is looking to John over ruler that keeps at arm's distant 60 cm from the eye and on the ruler John measured the height of 15 mm.
  2. Plane II
    compass2 A plane flew 50 km on a bearing 63degrees20 and the flew on a bearing 153degrees20 for 140km. Find the distance between the starting point and the ending point
  3. Plan scale
    geodet At what scale is drawn plan of the building, where one side of the building is 45 meters long is on the plan expressed by a straight line 12 mm long.
  4. Degrees to radians
    angle Convert magnitude of the angle α = 9°39'15" to radians:
  5. Feet to miles
    runners_6 A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
  6. Obtuse angle
    UholZSobr2 Which obtuse angle is creating clocks at 17:00?
  7. Scale of the map
    meritko Determine the scale of the map if the actual distance between A and B is 720 km and distance on the map is 20 cm.
  8. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  9. Mirror
    mirror How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm and Paul is from the tower distant 20 m.
  10. Acute angles
    angles_meter Sizes of acute angles in the right-angled triangle are in the ratio 1: 3. What is size of the larger of them?
  11. Complementary angles 2
    complementary_angles Two complementary angles are (x+4) and (2x - 7) find the value of x
  12. Angles
    angles_1 The outer angle of the triangle ABC at the vertex A is 114°12'. The outer angle at the vertex B is 139°18'. What size is the internal angle at the vertex C?
  13. Similarity
    similar_triangle Are two right triangles similar to each other if the first one has a acute angle 70° and second one has acute angle 20°?
  14. Ethernet cable
    EthernetCable Charles and George are passionate gamers and live in houses that are exactly opposite each other across the street, so they can see each other through the windows. They decided that their computers will connect the telephone cable in order to play games to
  15. Type of triangle
    237_triangle How do I find the triangle type if the angle ratio is 2:3:7 ?
  16. Two angles
    rt_1_1 The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
  17. Ladder
    rebrik_2 The ladder has a length 3.5 meters. He is leaning against the wall so that his bottom end is 2 meters away from the wall. Determine the height of the ladder.