Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m simultaneously.
Correct answer:

Tips for related online calculators
Check out our ratio calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
Do you want to convert length units?
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
geometryplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
- 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.
- Snowman's 82155
Under the column, the children built a 1.65m tall snowman. The snowman's shadow is 135 cm long. The shadow of the column has a length of 4.05 m. How tall is the pole?
- The shadow 2
The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the tower.
- Tourist 39691
How far from the lookout tower, 48 m high, did the tourist stand if he saw its top at an angle of 40°?
- Probability
A chessboard consists of 8x8 squares forming a square. A rook is unthreatened if there is no other rook in the row and column in which it stands. What is the probability that when 8 rooks are placed on a chessboard, none of them threaten each other (they
- Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now.