Question

As observed from the top 100m high light house from thr sea level the angles of depression of two ships are 30 & 45 . If one ship is exactly behind the other on the same side of the light house , find the distance between the two ships .

Answer 1

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ŸØÚŘ answer is in above attachment....

Its steps are given below :

♦◽▪ Use the value of Tangent 30° and 45° in ΔACD and ΔBCD respectively to get the value of AD and BD.

♦◽▪ Subtract BD from AD to get AB.

Answer 2

Answer:

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= 73 m

Step-by-step explanation:

light house height's = 100 m

in triangle ABC

tan A =AB/CB

45 degrees =100/CB

1 =100/CB

CB= 100 m

in triangle ADB

tan A = AB/DB

tan A =AB/CB+ DC

1/ square root {3}  = 100/100+x

[100 +x ] / square root 3 = 100

100 + x = 100*root 3

x =100 *root 3 - 100

x = 100[root 3 -1]          {root 3 = 1.73}

x = 100 [1.73 -1]

x= 100 [0.73]

x = 73 m [approx}