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An architect is designing the roof for a house what is the height of the roof?

An architect is designing the roof for a house what is the height of the roof?-example-1
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User Swanidhi
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2 Answers

6 votes

In a case whereby an architect is designing the roof for a house height of the roof is 6.9288 feet

What is the height of the roof?​

Trigonometry is the area of mathematics that deals with particular angle functions and how to use them in computations. In trigonometry, an angle can have six common functions. The terms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their names and abbreviations.

Based on the triangle

Tan 30 = opp/hyp

Tan 30 = h/ 12

0.5774 = h/ 12

h = 12 x 0.5774

h = 6.9288 feet

answered
User EyalBellisha
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8.2k points
4 votes

An architect is designing the roof for a house

what is the height of the roof?​

From the diagram,

We have that tan 30 = h/ 12

0.5774 = h/ 12

cross-multiply,

h = 12 x 0.5774

h = 6.9288 feet

answered
User Derek Prior
by
8.1k points

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