In triangle ABC, what is m angle C
1 answer:
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30° and 60°.
<h3>Further explanation</h3>We will solve the problem of the measures of angles in the triangle.
Recall this condition:
- The acute angle ⇒ an angle of less than 90°.
- The right angle ⇒ an angle of exactly 90°.
- A right triangle ⇒ a triangle in which one angle is a right angle.
- The interior angles ⇒ the angles inside a triangle.
- All the interior angles in a triangle , i.e.,
<u>Given that:</u>
The ratio of the measure of the acute angle in a right triangle is ¹/₂.
<u>Question:</u>
Find the measures of the two angles.
<u>The Process:</u>
We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.
From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.
Let's arrange the three angles in ABC triangle as follows:
Both sides subtracted by 90°.
Both sides divided by 3.
We get
We substitute the value of x back into B and C.
We have succeeded in getting the measures of the two angles.
<h3>Learn more</h3>- Undefined terms needed to define angles brainly.com/question/3717797
- What is 270° converted to radians brainly.com/question/3161884
- A triangle is rotated 90° about the origin brainly.com/question/2992432
Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles
Answer:
La torre tiene 543.78 pies de altura.
Step-by-step explanation:
Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).
Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.
Entonces simplemente podemos usar la relación:
Sin(θ) = (cateto opuesto)/(hipotenusa)
donde:
cateto opuesto = H
θ = 65°
hipotenusa = 600 ft
sin(65°) = H/600ft
sin(65°)*600ft = H = 543.78 ft
La torre tiene 543.78 pies de altura.
