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telo118 [61]
3 years ago
15

From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park

ed 90 feet from the base of the building. Find the height of the building to the nearest whole number of feet.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32°   [Alternate interior angles ]

According to the trigonometry,

\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56

Hence, the height of the building = 56 feet.

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Please help thank you.
ki77a [65]
Hello!

Let O be the center of the sphere, A the tangency point and B the location of the satellite.

m<ABO = 1/2m(b) = 1/2 * 138 = 69

m<OAB = 90

m<AOB = 180 - 90 - 69 = 21

21 * 2 = 42

The answer is 42°

Hope this helps!
7 0
3 years ago
HELP PLEASE I NEED THIS DONE ASAP
Nata [24]

a). 0.45 with a line over the 45 means 0.45454545454545... forever.

It's equivalent to  45/99  which is  <em>5/11</em> .

b). 0.45 with a line over the 5 means 0.455555555... forever.

It's equivalent to (0.4 + 0.555555.../10)

The 0.4 part is  4/10

The 0.5555555555.../10 part is  5/90 .

(4/10) + (5/90) = <em>41/90 </em>

c). 0.45 means 45/100 .  That's <em> 9/20</em> .

I don't think you're supposed to be posting unit test questions on Brainly.

6 0
3 years ago
Which congruence statements are true? Choose all answers that are correct?<br><br> A: B: C: D:
tester [92]

Answer:

Correct choices are A and C

Step-by-step explanation:

Inscribed angles property: The inscribed angles subtended by the same arc are equal.

1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).

2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).

3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.

4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.

4 0
3 years ago
Determine the answer to 3 + (-5) and explain the steps using a number line
Andreas93 [3]

Answer:

-2

Step-by-step explanation:

3 - 5 = -2

Place the dot on -2 on the number line that is on your problem as the answer. To show the steps on the number line, use your jumps to go back. For example, your starting point will be on 3, and then use your jumps to go back by 5; that means you go into the negatives. For this case, it is -2.

4 0
3 years ago
If 4(a+3)=2a+12, then a= __
Verdich [7]

Answer:

45

Step-by-step explanation:

a = 78/20=45

3 0
3 years ago
Read 2 more answers
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