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amm1812
3 years ago
10

A ship's sonar locates a treasure chest at a 12° angle of depression. A diver is lowered 40 meters to the ocean floor. How far (

to the nearest meters) does the diver need to swim along the ocean floor to get the treasure chest?
Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

The answer to your question is 8.5 m

Step-by-step explanation:

Data

angle = Ф = 12°

dept = 40 m

distance from the ship to the treasure = ?

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.

                      tan Ф = Opposite side / Adjacent side

-Solve for Opposite side

                      Opposite side = Adjacent side x tanФ

-Substitution

                      Opposite side = 40 x tan 12

-Simplification

                       Opposite side = 8.5 m

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The image of (-9,-4) after a reflection over the y-axis?
lidiya [134]

Answer:

The answer is (-4,9)

Step-by-step explanation:

When you reflect across y=-x the x and y coordinates switch places and change signs.

7 0
3 years ago
Select all the irrational numbers
sammy [17]

Answer:

what are the irrational numbers? and also, irrational numbers are never-ending decimals that have no pattern, such as pi; 3.141592653589793238426433832795028841971693993751058209749445923078164 0628620899862803482534211706

Step-by-step explanation:

irrational numbers cannot be written in fraction form

7 0
4 years ago
In the figure, all lines intersect at point W.
defon

Answer:

n = 15

Step-by-step explanation:

A straight line equals 180 degrees

Angle SWT is congruent to angle XWV meaning:

SWT (55 degrees) = XWV (55 degrees)

Set up an equation:

3n + 80 + 55 = 180

Combine like terms

3n + 135 = 180

Subtract both sides by 135 to isolate variable n

3n = 45

Divide both sides by 3 to isolate variable n

n = 15

7 0
3 years ago
Find the value of X
geniusboy [140]
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180

3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625

Hope this helps!
8 0
4 years ago
I need help on this help pls!
sineoko [7]

Step-by-step explanation:

Area of rectangle= l x b

= 245 x 245

=60025

Area of triangle = (1/2) x b x h

=(1/2) x 245 x 245

=30012.5

Area of shaded part = Area of rectangle - Area of triangle

=60025 - 30012.5

=30012.5

5 0
3 years ago
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