A man is 6 ft. tall casts a shadow of 8 ft. find the angle of elevation of the sun.
tan angle = 6/8 = .75
To find the angle of elevation of the sun, we can use the concept of similar triangles. Let's assume the man's height is represented by h and the length of his shadow is represented by s.
In this case, the man's height is 6 ft and his shadow length is 8 ft. We can set up a proportion using similar triangles.
The proportion would be:
(man's height) / (length of shadow) = (height of object) / (distance to sun)
Substituting the given values into the proportion, we have:
6 ft / 8 ft = (height of object) / (distance to sun)
Simplifying the proportion, we get:
3/4 = (height of object) / (distance to sun)
To find the angle of elevation, we need to find the value of the height of the object divided by the distance to the sun. However, we do not have enough information to directly find the value of this ratio.
Without additional information, we cannot determine the exact angle of elevation of the sun.