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den301095 [7]
3 years ago
11

Geometry quick question help

Mathematics
2 answers:
ankoles [38]3 years ago
8 0
What’s the question
vova2212 [387]3 years ago
3 0

Answer:

Angle 1: 127

Angle 2: 153

Step-by-step explanation:

First, let's find angle 1 by finding the angle that's supplementary to it.

To solve for it, we can set up an equation where the unknown angle and the other angles in the triangle it's in add up to 180:

x+95+32=180

x=53

Since angle 1 is supplementary to 53, that means that angle 1 is equal to 180-53 = 127.

Then, to find angle 2, we can find the angle that's supplementary to it.

To solve for that, we can set up an equation where that unknown angle and the other angles in the triangle it's in add up to 180:

26+127+x = 180

x = 27

Since angle 2 is supplementary to 27, that means that angle 2 is equal to 180-27 = 153.

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Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

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Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

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Answer:

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1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

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