A tree casts a 12 foot shadow while the sun is at an angle of elevation of 58º. Use
1 answer:
The height of tree is 32 meter
<em><u>Solution:</u></em>
Given that, The sun is at an angle of elevation of 58 degree
A tree casts a shadow 20 meters long on the ground
The sun, tree and shadow forms a right angled triangle
The figure is attached below
ABC is a right angled triangle
AC is the height of tree
AB is the length of shadow
AB = 20 meters
Angle of elevation, angle B = 58 degree
By definition of tan,
In this right angled triangle ABC,
opposite = AC and adjacent = AB
Therefore,
Thus height of tree is 32 meter
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