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The value of x is 80.34 feet. Then the height of the smaller building is 719.61 feet.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
Two office buildings are 300 feet apart. the taller building is 800 feet tall. The angle of depression from the observation deck (top) of the taller building to the top of the shorter building is 15 degrees.
Then the height of the shorter will be
h = 800 - x
Then the value of x will be
[tex]\rm x = 300 \tan 15^o = 80.38 \ ft[/tex]
Then the height of the shorter building will be
[tex]\rm \\\\h = 800-80.38\\\\h = 719.61\ ft[/tex]
Then the height of the smaller building is 719.61 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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