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Step2247 [10]
3 years ago
7

HELP what's the distance for this question? ​

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

Distance = 38.57ft

Step-by-step explanation:

Given

Base = 60

\theta = 50

Required

The distance between the top and John

The distance is calculated using:

sin\alpha =  \frac{Distance}{Base}

Where

\alpha = 90 - \theta --- the angle between the diagonal line and the vertical line

\alpha = 90 - 50

\alpha = 40

So, we have:

Sin(40) = \frac{Distance}{60}

Distance = 60 * sin(40)

Distance = 60 * 0.6428

Distance = 38.57ft

Distance = 986 * tan(38)

Distance = 986 * 0.7812

Distance = 770ft<em> --- approximated</em>

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