Answer:
The answer would be 76.36
Step-by-step explanation:
Complimentary angles add up to 90 degrees
AEC and CED are complimentary
Answer:
325 square inches
Step-by-step explanation:
Consider the attachment below for further reference. Ideally we would split this figure into parts, and solve as demonstrated by the attachment. I have labeled each rectangle as rectangle 1, rectangle 2, rectangle 3 etc. ;
<em>Hope that helps!</em>
La distancia entre el barco y la base del acantilado es 291.61 metros.
<h3>
¿Como calcular la distancia?</h3>
Podemos pensar en esta situacion como en un triangulo rectangulo. Uno de los catetos mide 687 metros, que es la altura del acantilado.
Y conocemos el angulo al que ese cateto es adjacente, que mide 23 grados.
La distancia entre la base del acantilado y el barco será el otro cateto del triangulo rectangulo.
Entonces podemos usar la relación:
tan(a) = (cateto opuesto)/(cateto adjacente)
Reemplazando lo que sabemos:
tan(23°) = D/687m
tan(23°)*687m = D = 291.61m
La distancia entre el barco y la base del acantilado es 291.61 metros.
Sí quieres aprender más sobre triangulos rectangulos:
brainly.com/question/2217700
#SPJ1
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
