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nalin [4]
2 years ago
6

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown.

Mathematics
2 answers:
Julli [10]2 years ago
4 0
Check the picture below.

In-s [12.5K]2 years ago
4 0
A) You can find the length of the side of the lot opposite the 60° angle <span> (which we will call "x") as below:
</span>
 Tan(α)=Opposite/Adjacent

 α=60°
 Opposite=41 feet
 Adjacent=x

 When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

 Tan(60°)=x/41
 (41)Tan(60°)=x
 x=41√3
 x=71.01 feet

 B) Now, you can <span>find the length of the hypotenuse:
</span>
 Cos(α)=Adjacent/Hypotenuse

 α=60°
 Adjacent=41 feet
 Hypotenuse=y

 When you substitute these values into Cos(α)=Adjacent/Hypotenuse, you obtain:

 Cos(60°)=41/y
 yCos(60°)=41
 y=41/Cos(60°)
 y=82 feet
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