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Galina-37 [17]
3 years ago
5

Please Help Fast!!!Need help!!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

Answer:

67cm

Step-by-step explanation:

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A flagpole sits on the top of a cliff that is 25 m above sea level. If the angle of elevation from a boat on the water to the to
OLEGan [10]

Answer:

3.2 m

Step-by-step explanation:

Let x be the distance between the cliff and the boat.

Since the cliff is 25 m above sea level and the distance between the boat and the height of the cliff are perpendicular, and the line of sight of the boat to the base of a cliff is 29 , these three form a right-angled triangle with hypotenuse side as the line of sight of the elevation of the boat to the base of the cliff.

So, using trigonometric ratios, tan29° = 25/x

x = 25 m/tan29° = 25 m/0.5543 = 45.1 m

Also, the line of sight of the top of the flagpole, the cliff and the distance between the boat and the cliff form a right-angled triangle with hypotenuse side as the line of sight of the top of the flagpole,

Now, the angle of elevation of the top of the flagpole from the top of the boat is 32°, we now find the angle opposite to x, the distance from the boat to the cliff.  

Since it is a right-angled triangle, thus one angle is 90° and the unknown angle is A.

So, 90° + 32° + A = 180° (sum of angles in a triangle)

122° + A = 180°

A = 180° - 122°

A = 58°

Let y be the length of the flagpole. In this same triangle, using the sine rule, with x being the side opposite A and 25 + y being the side opposite the 32° angle, where 25 + y = height of cliff + length of flagpole, then

x/sinA = (25 + y)/sin32°

25 + y = xsin32°/sinA

y =  xsin32°/sinA - 25

y = 45.1sin32°/sin58° - 25

y = 45.1 × 0.5299/0.8480 - 25

y = 45.1 × 0.6249 - 25

y =28.183 - 25

y = 3.183

y ≅ 3.2 m to one decimal place

6 0
2 years ago
Jay is cutting a roll of biscuit dough into slices that are 3/8 inch thick. If the roll is 101/2 inches long, how many slices ca
IceJOKER [234]
The roll of the biscuit is 101/2 inches long. It has to be cut into slices that are 3/8 inches thick.
Then
The number of slices = (101/2)/(3/8)
                                   = (101/2) * (8/3)
                                   = 808/6
                                   = 404/3
                                   = 134.66
So the biscuit dough can be cut into 134 slices approximately. A small part will be left. This is the only way to find out the number of slices the biscuit dough can be sliced into. Hope this helps you in understanding the way it is done.



4 0
2 years ago
sixteen students received awards for perfect scores on math or spelling quizzes last week. of these students, 11 received awards
Oxana [17]

Answer: 16 students receive passing grades out of those 16 , 11 Students receive perfect math & 8 perfect spelling

8 is you answer

Draw 16 circles that would rep the students

Count up to 11 with 1 mark in each bubble that would rep the perfect math

Then count 8 and put 1 Mark in the Bubble and you'll see that 8 Students Received 2 Awards

Step-by-step explanation:

8 0
2 years ago
Which list gives all of the line segments in the figure
aalyn [17]

Answer:

A. AB, BC, CD, AD, AC, BD

the first option! it has complete list of the line segments.

4 0
3 years ago
Read 2 more answers
Please Help me with my Math question!
iris [78.8K]
C= 8x + 5y
y-number of child tikets
C-8x= 5y
(C-8x)/5 =y
First option from up to down
8 0
3 years ago
Read 2 more answers
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