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charle [14.2K]
3 years ago
12

A man stands on a balcony 140 feet up and sees a bus stop at a 75 degree angle How far is the bus stop to the man in nearest fee

t

Mathematics
2 answers:
enyata [817]3 years ago
7 0

Answer:

145 feet  far is the bus stop to the man in nearest feet.

Step-by-step explanation:

Let the height of the balcony from the ground be h and the distance from the bus stop to the man be x.

As per the statement:

A man stands on a balcony 140 feet up and sees a bus stop at a 75 degree angle.

⇒ h = 140 feet and angle of depression= 75^{\circ}

We know that:

Angle of elevation(\theta) = Angle of depression = 75 degree

using the sine ratio we have;

\sin 75^{\circ} = \frac{140}{x}

⇒x = \frac{140}{\sin 75^{\circ}}

⇒x = \frac{140}{0.96592582628}

Simplify:

x = 144.938665 feet

Therefore, 145 feet  far is the bus stop to the man in nearest feet.

lakkis [162]3 years ago
4 0
D = 140 sec Θ models the distance from the man 
<span>to any object given his angle of sight theta. 
</span>after working it out you will find out that the awnser is <span>541 feet</span>
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