Which of the following expressions is the closest approximation to the height $h$ , in feet, of the roof truss shown here (Assuming roof tip at the centre)?

15 tan 20^{o}

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15 sin 20^{o}

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30 tan 20

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30 sin 20^{o}

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\frac{15}{sin 20^{o}}

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Solution

The correct option is A $15 tan 20^{o}$
Given: $B C = B D = 15$

in $△ A B C$

$tan 20^{o} = \frac{h}{B C} \Rightarrow h = B C tan 20^{o} \Rightarrow 15 tan 20^{o}$

Therefore, Answer is $15 tan 20^{o}$

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Which of the following expressions is the closest approximation to the height h, in feet, of the roof truss shown here (Assuming roof tip at the centre)?

The correct option is A 15tan20oGiven: BC=BD=15 in △ABC tan20o=hBC⇒h=BCtan20o⇒15tan20oTherefore, Answer is 15tan20o

Which of the following expressions is the closest approximation to the height $h$ , in feet, of the roof truss shown here (Assuming roof tip at the centre)?

The correct option is A $15 tan 20^{o}$
Given: $B C = B D = 15$

in $△ A B C$

$tan 20^{o} = \frac{h}{B C} \Rightarrow h = B C tan 20^{o} \Rightarrow 15 tan 20^{o}$

Therefore, Answer is $15 tan 20^{o}$