A submarine was situated 600 feet below sea level. An airplane directly above is at a height of 8,500 feet.

From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

Height of tree opposite angle of elevation = 34ft
Angle of elevation θ = 26°
Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

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3 0

1 year ago

The sphere is centered in the cube. Find an expression for the volume of the cube outside the sphere

Nikolay [14]

Solution -

The sphere is centered in the cube, so diameter of the sphere is equal to the side of the cube. Hence ,the radius of the sphere is half of the length of the side.

If the length of side of the cibe = a , then radius of the sphere is $\frac{a}{2}$

Volume of the cube = a³, volume of the sphere = $\frac{4}{3}$ π(radius)³ = $\frac{4}{3}$ π( $\frac{a}{2}$ )³

volume of the cube outside the sphere = volume of the cube - volume of the sphere

= $a^3 - \frac{4}{3}$ π( $\frac{a}{2}$ )³

= $a^3 -\frac{1}{6} \pi a^{3}$

=a³(1 - $\frac{\pi }{6}$ )

7 0

2 years ago

Find the area of the shaded region. Please help! <br><br> Brainliest to who gets it right !

damaskus [11]

0.367 centimeters squared

7 0

2 years ago

In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0

2 years ago

[PLEASE HELP] Each of these statements describe a transformation of a graph of y = x, The which of the statements correctly desc

Sphinxa [80]

Answer:

B

Step-by-step explanation:

Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.

5 0

3 years ago

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