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11111nata11111 [884]
2 years ago
10

In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees.  The base of the lig

hthouse is 33 ft away from the boat.   Determine the height of the lighthouse, to the nearest tenth of a foot.​

Mathematics
2 answers:
elixir [45]2 years ago
7 0

Answer:

=

412

feet

Step-by-step explanation:

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90°−27°

=63°

The distance to the boat is the side opposite the angle of

63°

while the height of the lighthouse is the adjacent side.

opposite

adjacent

=tan 63°

distance

210=tan 63°

distance=210×tan 63°=412 feet

yulyashka [42]2 years ago
6 0

Answer:

breh

Step-by-step explanation:

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Lera25 [3.4K]

Answer:

O7v2 hope that helps ya! Mark as brainlest

6 0
2 years ago
X 3x -9 +30 +24 =180​
olga55 [171]

Answer:

MAMMAAAAAAA OOOooOOOoooOOO

Step-by-step explanation:

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5 0
3 years ago
A luxury resort is offering an incentive discount. If you book your room six months in advance, you will save 15% off the price
Anna [14]

Answer:the total discounted cost for your stay is $1948.2

Step-by-step explanation:

If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be

15/100 × 382 = 0.15 × 382 = $57.3

The cost of the room for a night would be

382 - 57.3 = $324.7

Since you are staying for six nights,

the total discounted cost for your stay would be

324.7 × 6 = $1948.2

8 0
3 years ago
4. Find the solution of y = 2x + 5 for x = 1.<br> A (1, 7)<br> B (3, 1)<br> C (1, 12)<br> D (1, -2)
Sati [7]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
What is the side length a in the triangle below?
grigory [225]

Answer:

a=5

Step-by-step explanation:

a^2+b^2=c^2

c^2-b^2=a^2

13^2-12^2=a^2

169-144=a^2

25=a^2

5=a

8 0
2 years ago
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