55. The length of the shadow of a towerstanding on level ground is fou

1.	55. The length of the shadow of a towerstanding on level ground is found to be2x m longer when the Sun's altitude is 30°than when it was 45°. Prove that the height
Answer» Step-by-step EXPLANATION: LET H be the HEIGHT of the tower. In ΔABC, BCAB=tan45∘ yh=1 h=y In ΔABD, BDAB=tan30∘ 2x+yh=31 2x+y=3h 2x+h=3h h=3−12x h=(3+1)XMETERS

55. The length of the shadow of a towerstanding on level ground is found to be2x m longer when the Sun's altitude is 30°than when it was 45°. Prove that the height

Answer»

Step-by-step EXPLANATION:

LET H be the HEIGHT of the tower.

In ΔABC,

BCAB=tan45∘

yh=1

h=y

In ΔABD,

BDAB=tan30∘

2x+yh=31

2x+y=3h

2x+h=3h

h=3−12x

h=(3+1)XMETERS

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55. The length of the shadow of a towerstanding on level ground is found to be2x m longer when the Sun's altitude is 30°than when it was 45°. Prove that the height​

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55. The length of the shadow of a towerstanding on level ground is found to be2x m longer when the Sun's altitude is 30°than when it was 45°. Prove that the height