Mathematics: From her window, carmella looks up to the top of a neighboring building at an angle of 46°. her angle of depression to the bottom of the building is 25° the neighboring building is 180 feet away from the building carmella is in. how tall is the neighboring building? round your answer to the nearest tenth of a foot

The area is about 10 in.Step-by-step explanation:3 x 3 = 9 rounded to 10...

From her window, carmella looks up to the top

blackboy21

08.01.2022

$270.3\ ft$

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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