Directions: Q. 1 to 5 |
Vijay is trying to find the average height of a tower near his house. |
He is using the properties of similar triangles. The height of Vijay's house, if 20 m when Vijay's house casts a shadow 10m long on the ground. |
At the same time, the tower casts a shadow 50 m long on the ground and the house of Ajay casts 20 m shadow on the ground. |
Based on the above information, answer the following questions |
Directions: Q. 6 to 10 |
Aashi wants to make a toran for Home using some pieces of cardboard. She cuts some cardboard pieces as shown below. If perimeter of \[\Delta ADE\] and \[\Delta BCE\] are in the ratio 4:3, then answer the following questions. |
Based on the above information, answer the following questions |
Directions: Q. 11 to 15 |
Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C are a distance of 12 m, connecting C to point D at a distance of 40 m from point C and the connecting D to the point A which at distance of 30 m from D such that \[\angle ADC=90{}^\circ \]. |
Based on the above information, answer the following questions |
(i) Which property of geometry will be used to find the distance AC ? |
Directions: Q. 16 to 20 |
D.M of a district went to town Noida from city Delhi. There is a route via town Ghaziabad such that \[NG\bot GD\], NG = x km and GD = (x + 7) km. He noticed that there is proposal to construct a 17 km highway which directly connects the two towns Noida and Delhi. |
Based on the above information, answer the following questions. |
(i) Which concept can be used to get the value of x |
Directions: Q. 21 to 25 |
A scale drawing of an object is the same shape at the object but a different size. |
The scale of a drawing is a comparison of the length used on a drawing to the length it represents. The scale is written as a ratio. The ratio of two corresponding sides in similar figures is called the scale fact |
Scale factor = length in image/ corresponding length in object |
If one shape can become another using revising, then the shapes are similar. |
Hence, two shapes are similar when one can become the other after a resize, flip, slide or turn. In the photograph below showing the side view of a train engine. Scale factor is 1 : 200. |
This means that a length of 1 cm on the photograph above corresponds to a length of 200 cm or 2 m, of the actual engine. The scale can also be written as the ratio of two lengths. |
Based on the above information, answer the following questions |
Directions: Q. 26 to 30 |
Application of Pythagoras Theorem |
A crow leaves a tree and flies due north at a speed of 600 km/h. At the same time, another crow leaves the same place and flies due west at the speed 800 km/h as shown below. After \[3\frac{1}{2}\]h both the crow reaches at point P and Q respectively. |
Based on the above information, answer the following questions. |
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