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GuDViN [60]
2 years ago
15

From the top of a lighthouse 170 feet high, the angle of depression of a boat out at sea is 24°. Find, to the nearest foot, the

distance from the boat to the foot of the lighthouse. (The foot of the lighthouse is at sea level.)
Mathematics
1 answer:
prisoha [69]2 years ago
4 0

Check the picture below.

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Rita's family is moving to Grand Junction to Dallas. The moving van averages 60 miles each hour. About how many hours does the v
Eddi Din [679]

Answer:

16 hours and 20 minutes.

Step-by-step explanation:

Please consider the complete question.

Rita's family is moving to Grand Junction to Dallas, which is 980 miles. The moving van averages 60 miles each hour. About how many hours does the van take to reach Dallas?

To find the time taken by van to reach Dallas, we will divide total distance by speed.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60\frac{\text{ Miles}}{\text{Hour}}}

\text{Time taken to reach Dallas}=\frac{980\text{ Miles}}{60}\times \frac{\text{ Hour}}{\text{Miles}}

\text{Time taken to reach Dallas}=\frac{98}{6}\text{ Hour}

\text{Time taken to reach Dallas}=16.3333\text{ Hour}

Let us convert 0.3333 hours into minutes by multiplying 0.3333 by 60.

0.3333\times 60=19.998\approx 20

Therefore, it will take 16 hours and 20 minutes for the van to reach Dallas.

5 0
3 years ago
Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h
matrenka [14]

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

4 0
2 years ago
V (t)=32t <br> If a rock dropped off a bridge, how fast will it be falling after 3 seconds
kondor19780726 [428]
V(t) = 32t

when t = 3 seconds,

V = 32*3

V = 96

So velocity will be 96 units/s     after 3 seconds.
6 0
3 years ago
NEED HELP!!! Please answer the question! WILL GIVE BRANILY! 15 POINTS!!!
rewona [7]

Answer: D. Cannot be determined.

If Angle 3 were not included, the answer would be A, 360°

Step-by-step explanation: When the lines a, b, & c are parallel, the line intersecting them forms angles that are vertical, supplementary and/or corresponding and congruent.

Here, angles 4 and 5 are supplementary. No need to know their exact measurements. Together, their sum is 180°

Angles 1 and 2 are also supplementary, another 180°

But we don't know the measure of angle 3, so getting an exact sum is impossible here.

5 0
3 years ago
SOMEONE PLEASE HELP ME WITH THIS!!!!
denis23 [38]

Answer:

D.

Step-by-step explanation:

115x + 170 = 630

Subtract 170 from each side of the equals,

115x = 460

Divide 460 by 115,

4

Thus, D is your correct answer.

<em>Answered by:</em>

matthewarvin06

Hey! Thanks for reading my answer. If this helped you in any way, please rate or say thanks! It's really appreciated. If you have any further questions, please let me know. Thanks!

7 0
3 years ago
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