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11111nata11111 [884]
3 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]3 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]3 years ago
6 0

Answer:

breh

Step-by-step explanation:

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The upper-left coordinates on a rectangle are (-5, 6)(−5,6)left parenthesis, minus, 5, comma, 6, right parenthesis, and the uppe
sammy [17]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.

If the coordinates of the top of the triangle (breadth) is  (−5,6) and  (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:

D = √(y₂-y₁)²+(x₂-x₁)²

Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6

D = √(6-6)²+(-2-(-5))²

D = √0²+3²

D = √9

D = 3 units

Breadth = 3 units

Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.

16 = 2(3+L)

16 = 6+2L

16-6 = 2L

2L = 10

L = 10/2

L = 5 units.

<em>Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.</em>

7 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!!!!
algol [13]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
It took James 5h to paint an 8ft by 24ft wall. At this rate, how long would it take him to paint a 12ft by 36ft wall
olasank [31]
8 * 24 feet = 192 sq feet per 5 hours

12* 36 = 432 square feet

432 is 2.25 times the area of 192 square feet

So, it takes 5 * 2.25 = 11.25 hours


7 0
3 years ago
Divide 5/9 and round to the nearest tenth
n200080 [17]
5/9 equals 0.5555555556
The rounded answer would be 0.6 
c:
5 0
3 years ago
Read 2 more answers
How can you find 50% of any numbers
blagie [28]

Answer:

Divide it by two

Step-by-step explanation:

Divide it by two

4 0
3 years ago
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