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Sauron [17]
2 years ago
5

HELP DUE IN 10 MINS! The lighthouse is ?? feet above the water.

Mathematics
1 answer:
jasenka [17]2 years ago
3 0

Answer:

<u>Use tangent:</u>

  • BL/BS = tan S
  • x / 144 = tan 25°
  • x = 144 tan 25°
  • x = 67 ft (rounded)

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surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo
balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

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Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

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3 years ago
Graph the line y-3=-1/3(x+2)
e-lub [12.9K]

Slope: 1/2

y-intercept(s): (0, 7/3)

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3 0
2 years ago
Read 2 more answers
If 2a + 7b+2c=16 and 2a + 3b +2c= 8, then b = ?<br> (A)-2<br> (B) O<br> (C) 2<br> (D) 4<br> (E) 6
Sauron [17]

Answer:

  (C)  2

Step-by-step explanation:

Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.

<h3>Solution</h3>

The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.

  (2a +7b +2c) -(2a +3b +2c) = (16) -(8)

  4b = 8 . . . . . . . simplify

  b = 2 . . . . . . . divide by 4

5 0
1 year ago
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