Answer:
203 feet.
Step-by-step explanation:
Please find the attachment.
Let h represent the height of the building.
We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal. Â Â
We know that tangent relates opposite side of a right triangle to its adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{tan}(35^{\circ})=\frac{h}{290}[/tex]
[tex]290*\text{tan}(35^{\circ})=\frac{h}{290}*290[/tex]
[tex]290*0.70020753821=h[/tex]
[tex]h=290*0.70020753821[/tex]
[tex]h=203.0601860809[/tex]
[tex]h\approx 203[/tex]
Therefore, the building is approximately 203 feet high.
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