Answer:
The angle of elevation of the sun is 32°
Step-by-step explanation:
Right Triangles
The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.
Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.
[tex]\displaystyle \tan x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:
[tex]\displaystyle \tan x=\frac{20}{32}=0.625[/tex]
Calculate x by using the inverse tangent:
[tex]x=\arctan 0.625[/tex]
[tex]x=32^\circ[/tex]
The angle of elevation of the sun is 32°
