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1 year ago

Point C is in the interior of

Mathematics

1 answer:

PolarNik [594]1 year ago

8 0

Answer:

Point C is in the interior of angle ABD.

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A person is standing on a cliff that is 200ft above a body of water. The person looks down at an angle of depression of 42o at a

velikii [3]

Answer:

524.5 feet

Step-by-step explanation:

Given: Height of cliff= 200 ft

Angle of depression at sail boat is 42°

Angle of depression at yacht is 15°

Lets assume distance sailboat from the bottom of cliff is " $d_1$ "

And assume distance yacht from the bottom of cliff is " $d_2$ "

Now using tangent rule to solve it.

we know, $tan\theta = \frac{opposite}{adjacent}$

Distance sailboat from the bottom of cliff; $tan 42= \frac{200}{d_1}$

Using trignometry table to know the value of tan 42°

⇒ $0.90= \frac{200}{d_1}$

cross multiplying both side.

⇒ $d_1= \frac{200}{0.90} = 222.22 \approx 222$

∴ Distance sailboat from the bottom of cliff ( $d_1)$ = 222 feet

Distance yatch from the bottom of cliff; $tan 15= \frac{200}{d_2}$

Using trignometry table to know the value of tan 15°

⇒ $0.2679= \frac{200}{d_2}$

cross multiplying both side.

⇒ $d_2= \frac{200}{0.2679} = 746.54 \approx 746.5$

∴Distance yacht from the bottom of cliff $(d_2)$ = 746.5 feet.

Next, finding the distance between sailboat and yacht.

Distance between sailboat and yacht = $d_2-d_1$

⇒ Distance between sailboat and yacht= $746.5-222= 524.5\ ft$

∴ Distance between sailboat and yacht is 524.5 feet.

3 0

2 years ago

43,761 rounded to the nearest thousands

Stels [109]

Answer:

44,000

Step-by-step explanation:

8 0

2 years ago

HELP ME FAST!!!!!!

photoshop1234 [79]

Answer:

2.3

Step-by-step explanation:

7 0

2 years ago

James went out for. a long walk . he walked 3/4 mile and then sat down to take rest. then walked 1/8 of a mile how far did he wa

Karo-lina-s [1.5K]

change 3/4 to 6/8 and add 6/8 and 1/8 to get 7/8

he walked 7/8 miles in total :)

6 0

2 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

2 years ago