Horizontal distance between two pillars of different height is 60 m. it was observed that the angular elevation form form the top of the shorter pillar to the top of the taller pillar is $45^{\circ}$ if the height of taller pillar is 130 m, the height of the shorter pillar

45 m

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70 m

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80 m

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60 m

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Solution

The correct option is B 70 m
Height of bigger pilar = 130 m
Horizontal distance between the pillars = $60$ m
Angle of elevation from top of smaller pillar to top of bigger pillar = $α$ = $45^{\circ}$
Thus, $tan α = \frac{d i f f e r e n c e o f h e i g h t}{h o r i z o n t a l d i s t a n c e}$
$tan 45 = \frac{d i f f e r e n c e o f h e i g h t}{60}$
$d i f f e r e n c e o f h e i g h t = 60$ m
Thus, height of smaller pillar = height of larger pillar - difference in heights
= $130 - 60 = 70$ m

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Horizontal distance between two pillars of different height is 60 m. it was observed that the angular elevation form form the top of the shorter pillar to the top of the taller pillar is 45∘ if the height of taller pillar is 130 m, the height of the shorter pillar

Horizontal distance between two pillars of different height is 60 m. it was observed that the angular elevation form form the top of the shorter pillar to the top of the taller pillar is $45^{\circ}$ if the height of taller pillar is 130 m, the height of the shorter pillar