Mathematics, 01.12.2020 16:50 mrsali35

Un marino está parado en la proa de un velero y observa el faro en la orilla de la costa. Si el marino tiene una estatura de 1.80m y proyecta una sombra de 2m de largo sobre el velero,¿a que distancia se encuentra este hombre de la costa si se sabe que la altura del faro respecto al nivel Del Mar es de 36m?

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Answer from: genesisprieto11

El marino se encuentra a 40 metros de la costa.

Step-by-step explanation:

Podemos ver la conjunción de la proyección de la sombra del marino con su altura como un triángulo rectángulo con:

b: base = cateto inferior = 2 m

h: altura = cateto superior = 1.80 m

θ₁: ángulo entre la hipotenusa y h (cateto inferior o base).

De este primer triángulo tenemos:

$tan(\theta_{1}) = \frac{h}{b} = \frac{1.80 m}{2 m} = 0.9$ (1)

Ahora, dado que la proyección del marino se debe al faro, de la atura de éste junto con la distancia entre el marino y la costa tenemos:

x: distancia entre el marino y la costa = cateto inferior =?

H: altura del faro = cateto superior = 36 m

θ₂: ángulo entre la hipotenusa y "x" (base).

De este segundo triangulo tenemos:

$tan(\theta_{2}) = \frac{H}{x} = \frac{36 m}{x}$

$x = \frac{36 m}{tan(\theta_{2})}$ (2)

Debido a que θ₁ = θ₂ (por ser los dos triangulos semejantes), entonces introduciendo la ecuación (1) en (2) tenemos:

$x = \frac{36 m}{tan(\theta_{1})} = \frac{36 m}{0.9} = 40 m$

Por lo tanto, el marino se encuentra a 40 metros de la costa.

Espero que te sea de utilidad!

Answer from: Quest

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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Un marino está parado en la proa de un velero y observa el faro en la orilla de la costa. Si el mari...

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