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2 years ago

An 18-ft tall tree casts a shadow of 25 feet. Find the angle of elevation of the sun.

Mathematics

1 answer:

777dan777 [17]2 years ago

3 0

Answer:

46.05degrees

Step-by-step explanation:

Given the following

Height of tree = 18ft (Opposite)

length of shadow = 25ft (hypotenuse)

Required

Angle of elevation

Sin theta = opp/hyp

Sin x = 18/25

sin x = 0.72

x = arcsin(0.72)

x = 46.05

Hence the angle of elevation of the sun is 46.05degrees

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3 years ago

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2 years ago

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are

romanna [79]

If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.

If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.

Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have

4x – 2z = A

x + y + z = 15

If A = -2 and x = 3, then we have

4 × 3 – 2z = -2

12 + 2 = 2z

z = 7

Then the value of y will be

3 + y + 7 = 15

y = 5

More about the linear system link is given below.

brainly.com/question/20379472

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2 years ago

Una persona camina 7 kilómetros hacia el norte, después 3 kilómetros hacia el este y, luego, 3 kilómetros hacia el sur. ¿A qué d

qaws [65]

Answer:

La persona está a 5 kilómetros con respecto al punto de partida.

Step-by-step explanation:

Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:

(i) Una persona camina 7 kilómetros hacia el norte:

$\vec r_{1} = 7\,\hat{j}\,[km]$

(ii) Después 3 kilómetros hacia el este:

$\vec r_{2} = 3\,\hat{i}\,[km]$

(iii) Y luego, 3 kilómetros hacia el sur:

$\vec r_{3} = -3\,\hat{j}\,[km]$

El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:

$\vec R = \vec r_{1}+\vec r_{2} + \vec r_{3}$ (1)

$\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km]$

Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:

$\|\vec R\| = \sqrt{3^{2}+4^{2}}$