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begin mathsize 12px style space When space the space sun apostrophe straight s space altitude space changes space from space 30 degree space to space 60 degree comma space the space length space of space the space
shadow space of space straight a space tower space decreases space by space 70 space straight m. space What space is space the space height space of space the space tower ? end style

Please provide solution to this question

Asked by Topperlearning User 2nd November 2017, 9:59 AM
Answered by Expert
Answer:

begin mathsize 12px style Let space AD space be space the space tower comma space BD space be space the space initial space shadow space and space CD space be space the space final space shadow
Given space that space BC space equals space 70 space straight m comma space
angle space ABD equals 30 degree angle space ACD equals 60 degree
Let space CD equals space straight x space space space space AD equals space straight h space
space From space the space right space increment CDA space space space
tan space 60 space degree space equals fraction numerator straight h space over denominator straight x end fraction space space
rightwards double arrow straight h equals straight x square root of 3 space
space From space the space right space space increment BDA space space
tan space 30 space degree space equals space fraction numerator straight h over denominator straight x plus 70 end fraction
rightwards double arrow straight x plus 70 equals square root of 3 straight h
rightwards double arrow straight x plus 70 equals 3 straight x
rightwards double arrow straight x equals 35
straight h equals 35 square root of 3 space straight m end style

Answered by Expert 2nd November 2017, 11:59 AM
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