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ivolga24 [154]
3 years ago
9

A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o

f elevation can the captain see the top of the lighthouse? options: 45° 12° 77° 11°
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

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Neither

Step-by-step explanation:

Parallel must have the same slope.

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Step-by-step explanation:

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Se vendieron un total de 430 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. Se vendieron
BartSMP [9]

Resolviendo un sistema de ecuaciones, veremos que se vendieron 250 boletos de adulto.

<h3>¿Cuántos boletos de adulto fueron vendidos?</h3>

Definamos las variables:

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  • y = boletos de estudiantes vendidos.

Se vendieron un total de 430 boletos, entonces:

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Tenemos el sistema de ecuaciones:

x + y = 430

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Para resolverlo, podemos reemplazar la segunda ecuación en la primera:

x + y = 430

x + (x - 70) = 430

2x = 430 + 70 = 500

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Sí quieres aprender más sobre sistemas de ecuaciones:

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Step-by-step explanation:

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