मराठी

A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in cm, of the model; if the length of the aeroplane is 40 m. - Mathematics

Advertisements
Advertisements

प्रश्न

A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in cm, of the model; if the length of the aeroplane is 40 m.

बेरीज

उत्तर

Model of an aeroplane to the actual = 1 : 400

∴ Scale factor = `400/1 = k`

Actual length of aeroplane = 40 m

Then length of model = `1/k` × actual length

= `(40 xx 1)/400`

= `1/10 m`

= `1/10 xx 100`

= 10 cm

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 15: Similarity (With Applications to Maps and Models) - Exercise 15 (D) [पृष्ठ २२९]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
पाठ 15 Similarity (With Applications to Maps and Models)
Exercise 15 (D) | Q 4.1 | पृष्ठ २२९

संबंधित प्रश्‍न

In the given figure, ∆ABC and ∆AMP are right angled at B and M respectively.

Given AC = 10 cm, AP = 15 cm and PM = 12 cm.

  1. Prove that: ∆ABC ~ ∆AMP
  2. Find: AB and BC.


The given figure shows a triangle PQR in which XY is parallel to QR. If PX : XQ = 1 : 3 and QR = 9 cm, find the length of XY.


Further, if the area of ΔPXY = x cm2; find, in terms of x the area of :

  1. triangle PQR.
  2. trapezium XQRY.

In the figure, parts of the two triangles bearing identical marks are
congruent. State the test by which the triangles are congruent.


A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find : A' B', if AB = 4 cm.


The scale of a map is 1 : 50000. The area of a city is 40 sq km which is to be represented on the map. Find: The area of land represented on the map.


A map is drawn to scale of 1:20000. Find: The area of the lake on the map which has an actual area of 12km2 


In ΔABC, AP ⊥ BC and BQ ⊥ AC, B−P−C, A−Q−C, then show that ΔCPA ~ ΔCQB. If AP = 7, BQ = 8, BC = 12, then AC = ?


In ΔCPA and ΔCQB

∠CPA ≅ [∠ ______]    ...[each 90°]

∠ACP ≅ [∠ ______]   ...[common angle]

ΔCPA ~ ΔCQB     ......[______ similarity test]

`"AP"/"BQ" = (["______"])/"BC"`    .......[corresponding sides of similar triangles]

`7/8 = (["______"])/12`

AC × [______] = 7 × 12

AC = 10.5


Two triangles are similar. Smaller triangle’s sides are 4 cm, 5 cm, 6 cm. Perimeter of larger triangle is 90 cm then find the sides of larger triangle.


In figure, if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ∠ADE = 48°. Find ∠ABC. 


In ΔPQR, S and T are points on PQ and PR respectively. `(PS)/(SQ) = (PT)/(TR)` and ∠PST = ∠PRQ. Prove that PQR is an isosceles triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×