Un topografo situado en un punto c localiza dos puntos a y b en los lados opuestos de un lago . Si el punto c esta situado a 5km de a y 8 km de b y ademas el angulo formado en el punto c es de 36 grados . Calcular el ancho del lago

Answers

Answer 1

Answer:

The width of the lake is approximately 4.93 kilometers.

To calculate the width of the lake, you can use trigonometry. You have a triangle with one side of 5 km (from point C to point A), another side of 8 km (from point C to point B), and an included angle of 36 degrees at point C.

You can use the law of cosines to find the third side, which is the width of the lake (let's call it "x"). The law of cosines states:

$c^2 = a^2 + b^2 - 2ab * cos(C)$

Where:

c is the side you want to find (the width of the lake, in this case).

a is the side opposite to angle A (5 km).

b is the side opposite to angle B (8 km).

C is the included angle at point C (36 degrees).

So, plug in the values:

$x^2 = 5^2 + 8^2 - 2 * 5 * 8 * cos$ (36 degrees)

Now, you can solve for x:

$x^2 = 25 + 64 - 80 * cos$ (36 degrees)

$x^2 = 89 - 80 * cos$ (36 degrees)

Now, you'll need to calculate the cosine of 36 degrees, which is approximately 0.809.

$x^2 = 89 - 80 * 0.809\nx^2 = 89 - 64.72\nx^2 = 24.28$

Now, take the square root of both sides to find the width of the lake:

x ≈ √24.28

x ≈ 4.93 km

So, the width of the lake is approximately 4.93 kilometers.

for such more question on triangle

brainly.com/question/1058720

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Answer 2

Answer:

Hi mods, I do have a link in this answer but it is a link to the spanish version of brainly since this user seems to speak spanish.

Por favor, traduzca su pregunta al inglés o encuentre la versión en español de Brainly (https://brainly.com.br/ o https://brainly.lat/.)

Estoy usando el traductor de google, lo siento por el mal español

ver diagrama adjunto abajo (el asombrosamente dibujado)

podemos formar un triangulo

Usa la ley de los cosenos del segundo apego.

Queremos encontrar el valor de c que representa el ancho del lago

En este problema, a=5, b=8, y C=36°

$c^2=a^2+b^2-2abcos(C)$

$c=√(a^2+b^2-2abcos(C))$

$c=√(5^2+8^2-2(5)(8)cos(36^o))$

$c=√(25+64-80cos(36^o))$

$c=√(89-80cos(36^o))$

c≈4.92734 km

el ancho del lago es de aproximadamente 4.93km

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Answers

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So the trinomial $x^2+kx-35$ can be factored as long as

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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