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trasher [3.6K]
3 years ago
10

Diameter = 28 cm. H = 25 cm.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0
What’s the question?
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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

then;

\tan (7^{\circ}) = \frac{50}{x}

or

x = \frac{50}{\tan 7^{\circ}}

x = \frac{50}{0.1227845609}

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
Can someone explain how to graph this? I know how to graph it in the y= format. So can someone explain how to get these equation
artcher [175]

Answer:

hope this helps.

Step-by-step explanation:

You don't really need to get them in the y format.

make a table and plug some numbers in and graph those points

use a ruler to connect the dots.

y = -3 is a horizontal line

8 0
3 years ago
For questions 4-5, decide whether each table of values describes a function or not.
lara31 [8.8K]

Answer:

Function

Step-by-step explanation:

Two different X's could equal the same Y value so this is a function. Remember if there's multiple of the same input (x) equalling different outputs (y) then it is not a function. If there's multiple inputs (x) equalling the same output (y) it's just coincidence and works.

3 0
3 years ago
The rectangle shown is dilated by a scale factor of 1/5
Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0
3 years ago
Harry worked 7 hours last week. This is 1__3as many hours as Aidan worked. How many hours did Aidan work?
vitfil [10]

Answer:

21

Step-by-step explanation:

1/3= 0.33

7/0.33

7 0
2 years ago
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