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Gnesinka [82]
3 years ago
12

From the top of the Cape San Juan Lighthouse, a 45 foot tall lighthouse located in Fajardo, Puerto rico, a tourist sights two bo

ats coming into the coastline, one behind the other. The angle of depression to one boat is 21° and the angle of depression to the other boat is 40°. How far apart are the two boats?
Please show work
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

The correct answer is 7.54 foot apart.

Step-by-step explanation:

The height of the Cap San Juan Lighthouse is 45 foot.

The angle of depression of the first boat is given to be 40°.

Distance between the first boat and the lighthouse is cos 40° × 45 = 34.47 foot.

The angle of depression of second boat is given to be 21°.

Distance between the second boat and the lighthouse is cos 21° × 45 = 42.01 foot.

Therefore the boats are 42.01 - 34.47 = 7.54 foot apart from each other.

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Sophie [7]

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

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