Find the measure of the missing angles

You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is

lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C = 90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± $\sqrt{a^{2} +b^{2} }$

Substitute a and b:

c = ± $\sqrt{346346^{2} +7777^{2} }$

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

$\frac{346346}{sinA}$ = $\frac{346433.3}{sinC}$

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

$\frac{346346}{sinA}$ = $\frac{346433.3}{1}$

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

$\frac{346346}{346433.3}$ = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( $\frac{346346}{346433.3}$ ) = ∠A = 88.7°

5 0

3 years ago

Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She

daser333 [38]

Answer:

See attachment for plot

Step-by-step explanation:

Given

$y =2x$

$R =+2$ --- increment in the rate

First, we need to model the new rate

A linear equation is:

$y = mx + b$

Where

$m = rate$

Compare $y =2x$ and $y = mx + b$ . we have:

$m =2$

The above represents the previous rate.

The new rate:

$R =+2$

Rewrite as:

$R = m+2$

$R = 2+2$

$R = 4$

So, the model is:

$y = Rx$

$y = 4x$

The plot at 1 and 2 minutes

When $x = 1$

$y = 4x = 4 * 1 = 4$

When $x = 2$

$y = 4x = 4 * 2 = 8$

So, we have:

$(x_1,y_1) =(1,4)$

$(x_2,y_2) =(2,8)$

Whether she moves backwards or forward, the distance covered remains the same

See attachment for plot

5 0

3 years ago

Let m = X^2 + 3.

Tpy6a [65]

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

and m= X^2 + 3.

make the given equation in the form X^2 + 3,

now,

(x^2+3)^2+7x^2+21=-10

(x^2+3)^2+7(x^2+3)=-10

where,

X^2 + 3= m

after putting the value or replacing the values

we get, m^2+7m=-10

m^2+7m+10=0

the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

Leran more about substitution here:

brainly.com/question/24094293

#SPJ1

4 0

2 years ago

Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in d

Evgen [1.6K]

Answer:

y=-0.5x+8

Step-by-step explanation:

stat, or just rise over run

8 0

3 years ago

How does 4 digit addends have a 5 digit sum

denpristay [2]

A 4 digit addends could have a 5 digit sum because of the rule of regrouping.
Regrouping is a situation where carrying and borrowing is involves. So let’s have an example

8999
+5678
14677

so in this example, we added 8999 to 5678.
9+8 = 17, so we bring down 7 and carry 1
9 + 7 = 16 + 1 = 17 , so again we bring down 7 carry 1
9 + 6 = 15 + 1 = 16, bring down 6 carry 1
8+5 = 13 + 1 =14, since this is our last number, bring down 14..
=> 14, 677

3 0

3 years ago