El angulo de elevacion del sol es de 29°12'35''. Calcular la longitud de la sombra proyectada por un hombre de 1,75m de estatura
1 answer:
Respuesta:
3,59 metros
Explicación paso a paso:
Conversión del ángulo de elevación a grados;
29 ° 12 '35 "
= 29 ° + 12 '/ 60 + 35 "/ 3600
= 29,20972 °
Resolviendo el triángulo de solución adjunto:
La longitud de la sombra se puede obtener utilizando la relación trigonométrica;
Sin θ = opuesto / hipoteno
Sin 29.20972 = 1.75 / sombra
Sombra = 1.75 / Sin 29.20972
Longitud de la sombra = 3,59 m
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Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = - = -
= 8
product of zeros = αβ = = Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15
Let's begin by listing out the information given to us:
We start out by observing that Triangles MKR & ACD are similar or proportional
We will solve for the missing side by using the similar triangle theorem. This is shown below:~