A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of the sun?. Draw a right triangle and round to the nearest tenth of a degree.

50.6°

Step-by-step explanation:

The reference angle = angle of elevation

Side opposite to the reference angle = 78 ft

Adjacent side = 64 ft

Applying trigonometric ratios formula, we would have:

Plug in the values

(nearest tenth)

y= -

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl