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DiKsa [7]
3 years ago
7

An ant looks to the top of a bulding at an angle of elevation of 32°. The ant then walks an additional 66 feet from the edge of

the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round to the nearest tenth
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4

Therefore, the height of the building is 75.4 feet.
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2b plus 4a minus a minus 2 plus 12b
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The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.

Expression:

An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.

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Here we have the statement "2b plus 4a minus a minus 2 plus 12b".

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1 year ago
Can anyone please help with these 2 questions. If you can, please show step-by-step.
valentinak56 [21]

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