Solve for θ. Please help me!!
1 answer:
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Consult the attached diagram.
In the larger triangle,
tan(16°) = (7250 ft) / (<em>x</em> + <em>y</em>)
and in the smaller triangle,
tan(26°) = (7250 ft) / <em>y</em>
You want to solve for <em>x</em>.
From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have
(<em>x</em> + <em>y</em>) tan(16°) = 7250
<em>x</em> tan(16°) + <em>y</em> tan(16°) = 7250
<em>x</em> tan(16°) = 7250 - <em>y</em> tan(16°)
<em>x</em> = 7250 cot(16°) - <em>y</em>
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From the second equation,
<em>y</em> = 7250 cot(26°)
Solving for <em>x</em> gives
<em>x</em> = 7250 cot(16°) - 7250 cot(26°)
<em>x</em> = 7250 (cot(16°) - cot(26°))
<em>x</em> ≈ 10,433 ft
Answer:
Step-by-step explanation:
The first step is to combine like terms, and multiply them together first. Since multiplication is commutative, it doesn't matter in what order you do it. Therefore, this can be rewritten as . Hope this helps!