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CBSE Class 10 Answered

 Tower AB is 20 m high and BC,its shadow on the ground,is 20square root of 3m  long. Find the Sun's altitude.
Question is from 2015 CBSE board exam. Series RLH   Code No:30/3  SET 3
 
Asked by maheshpdm2 | 16 Mar, 2015, 02:54: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
G i v e n space t h a t space t h e space t o w e r space A B equals 20 space m space a n d space i t s space s h a d o w space o n space t h e space g r o u n d space B C equals 20 square root of 3 space m W e space n e e d space t o space f i n d space t h e space S u n apostrophe s space a l t i t u d e. C o n s i d e r space t h e space r i g h t space t r i a n g l e space triangle A B C. L e t space theta space b e space t h e space a n g l e space o f space e l e v a t i o n. C o n s i d e r space t h e space r a t i o comma space tan theta equals space fraction numerator A B over denominator B C end fraction rightwards double arrow space tan theta equals space fraction numerator 20 over denominator 20 square root of 3 end fraction rightwards double arrow space tan theta equals space fraction numerator 1 over denominator square root of 3 end fraction rightwards double arrow space tan theta equals space tan 30 degree equals space fraction numerator 1 over denominator square root of 3 end fraction rightwards double arrow theta equals 30 degree T h u s comma space t h e space S u n apostrophe s space a l t i t u d e space i s space 30 degree
Answered by Vimala Ramamurthy | 17 Mar, 2015, 09:24: AM

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