Question

use the given measurements to find the distance d across the pond​

Answer 1

Hey mate I don't know by which method should i give you the answer(it heavily depends on your class). But I am going to use the method that came to my mind first (class 10)

Answer:

d = 60m

Step-by-step explanation:

In ΔABC & ΔCDE

∠ACB = ∠ECD [Vertically opposite angles]

∠DEC = ∠ABC= 90°[Both of them are right angles as per the question / given]

Hence,

           ΔABC ≈ ΔCDE [these both triangles are similar by AA criteria rule]

Hence we can say that : $\frac{AB}{ED} =\frac{BC}{CE}$

⇒ $\frac{105}{d} =\frac{140}{80}$

⇒ $\frac{105}{d} =\frac{14}{8}$

⇒ $\frac{105}{d} =\frac{7}{4}$

⇒ $4(105) = 7d$

⇒ $420 = 7d$

⇒ $d = \frac{420}{7}$

⇒ $d = 60$

Hope it helps

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