The shadow of a 5 m long stick is 2 m long. At the same time the length of the shadow of a 12.5 m high tree is:
3 m
3.5 m
4.5 m
5 m
Similarity
2 Likes

Question

The shadow of a 5 m long stick is 2 m long. At the same time the length of the shadow of a 12.5 m high tree is: 1. 3 m 2. 3.5 m 3. 4.5 m 4. 5 m

KnowledgeBoat · Accepted Answer

Given, Suppose DE is a 5 m long stick and BC is a 12.5 m high tree. Suppose EA and CA are the shadows of DE and BC respectively. Now, In ΔABC and ΔADE, ∠ACB = ∠AED = 90° ∠A = ∠A [Common] ΔABC ΔADE by AA similarity.Then ratios of corresponding sides are equal: Hence, option 4 is the correct option.

Mathematics

The shadow of a 5 m long stick is 2 m long. At the same time the length of the shadow of a 12.5 m high tree is:
3 m
3.5 m
4.5 m
5 m

Similarity

Related Questions

If in triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B is equal to :
35°
65°
75°
85°

In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x equals:
2.1
3
4
6

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?
AB = BD × AD
AB² = BC × BD
AB² = BD × DC
AB² = BC × DC

Mathematics

The shadow of a 5 m long stick is 2 m long. At the same time the length of the shadow of a 12.5 m high tree is:3 m3.5 m4.5 m5 m

Similarity

Related Questions

If in triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B is equal to :35°65°75°85°

In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x equals:2.1346

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?AB = BD × ADAB2 = BC × BDAB2 = BD × DCAB2 = BC × DC

The shadow of a 5 m long stick is 2 m long. At the same time the length of the shadow of a 12.5 m high tree is:
3 m
3.5 m
4.5 m
5 m

If in triangles ABC and DEF, ∠A = ∠E = 40°, AB : ED = AC : EF and ∠F = 65°, then ∠B is equal to :
35°
65°
75°
85°

In the given figure, AB ∥ CD and OA = (2x + 4) cm, OB = (9x − 21) cm, OC = (2x − 1) cm and OD = 3 cm. Then x equals:
2.1
3
4
6

In a right-angled ΔABC in which ∠A = 90°, if AD ⟂ BC, then which of the following statements is correct?
AB = BD × AD
AB² = BC × BD
AB² = BD × DC
AB² = BC × DC