Ask question

Ask question

All categories

3 years ago

13

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

1 answer:

Semmy [17]3 years ago

7 0

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC

y

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

y

You might be interested in

Elza [17]

Answer:

C) 405.3 ft

Step-by-step explanation:

A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.

Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

$\frac{a}{sin(A)}= \frac{b}{sin(B)} =\frac{c}{sin(C)}$

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

82 + 78 + ∠C = 180

∠C + 160 = 180

∠C = 20°

Using sine rule:

$\frac{c}{sin(C)}=\frac{a}{sin(A)}\\\\\frac{140}{sin(20)}=\frac{a}{sin(82)}\\\\a= \frac{140*sin (82)}{sin(20)}\\\\a=405.3\ ft$

a = distance from Ship B to the signal fire at point C

8 0

2 years ago

Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig h

nignag [31]

Answer:

49950

Step-by-step explanation:

111% of 45000 is 49950

5 0

3 years ago

Read 2 more answers

Irene has 1 gallon of milk. She uses 4 fluid ounces of milk in each bowl of cereal. How many bowls of cereal can she fill before

goldenfox [79]

128 ounces in a gallon

128 divided by 4. Gives you 32 bowls of cereal

4 0

3 years ago

Read 2 more answers

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2 2 1 2, start fraction, 1, divided by

podryga [215]

Answer:

Hence, Eric's elevation changed $4\frac{1}{4}$ meters above. So after the 2 moves, he is up by $4\frac{1}{4}$ meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and "positive" as climbing up. Here we need to find the change in elevation.

$2\frac{1}{2}$ meters down means $-2\frac{1}{2}$ .
$6\frac{3}{4}$ meters up means $+6\frac{3}{4}$ .

Now we have:

$=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}$

4 0

2 years ago

What is the median if the following numbers:10,10,12,14,22,13, and 24

mina [271]

Answer:

14

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers