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Viktor [21]
3 years ago
9

From her window, Carmella looks up to the top of a neighboring building at an angle of 46°. Her

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

270.3\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ADE

Find the value of h1

See the attached figure

h1=AD

tan(25\°)=\frac{h_1}{180}

Solve for h1

h_1=(180)tan(25\°)\\h_1=83.94\ ft

step 2

In the right triangle ABC

Find the value of h2

See the attached figure

h2=BC

tan(46\°)=\frac{h_2}{180}

Solve for h2

h_2=(180)tan(46\°)\\h_2=186.40\ ft

step 3

Find the height of the neighboring building

we know that

The height of the neighboring building is equal to

h=h_1+h_2

substitute the values

h=83.94+186.40=270.34\ ft

Round to the nearest tenth of a foot

h=270.3\ ft

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