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katovenus [111]
3 years ago
12

the angel of elevation from where casey is standing to the top of an 84ft tall lighthouse is 58 degrees how far is casey standin

g from the lighthouse
Mathematics
2 answers:
In-s [12.5K]3 years ago
5 0

Answer: 52.489…

Step-by-step explanation:

Angle of elevation is 58 degrees, and the opposite value is 84 feet, so you’re lookin g for adjacent. That means you’ll use tangent to solve this equation:

Tan(58)=84/x

iren [92.7K]3 years ago
3 0

Answer: Casey is standing 52.5 feet from the lighthouse.

Step-by-step explanation:

A right angle triangle is formed. The height of the lighthouse represents the opposite side of the right angle triangle. The distance, h from the lighthouse to where Casey is standing represents the adjacent side of the right angle triangle. Casey's line of sight along the angle of elevation represents the hypotenuse.

To determine h, we would apply

the tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 58 = 84/h

h = 84/tan 58 = 84/1.6

h = 52.5 feet

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Given f(x)=3x-1 find f(-1)
vaieri [72.5K]

Answer:

<h2>f( - 1) = - 4</h2>

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

<h3>f(-1) = - 4</h3>

Hope this helps you

7 0
3 years ago
If the statement "If it is cold, then I wear a jacket" is assumed to be true, is its converse, "If I wear a jacket, then it must
Ad libitum [116K]

it is false, there could be other reasons they wear a jacket other than being cold.

8 0
2 years ago
How can you do this question!!!??? i need help immediately!!!
slega [8]

Answer:

i think its 5, use the magic numbers of pythagoras theorem to help u it might not be correct, use at ur own risk

6 0
3 years ago
Simplify (2 3/5) divided ( -3 3/4)
Ostrovityanka [42]

Flip over the second fraction

2 3/5= 13/5 ( Multiply the whole number with the denominator, 2*5=10 then add the numerator 10+3=13

-3 3/4= -15/4

13/5 * -4/15= -52/75

Answer :-52/75

4 0
3 years ago
Please help asap!!! i dont understand it
pshichka [43]

Answer:

a

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = \frac{13-1}{9-(-7)} = \frac{12}{9+7} = \frac{12}{16} = \frac{3}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{3}{4} } = - \frac{4}{3} ←  slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

(\frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( \frac{-7+9}{2}, \frac{1+13}{2} ) = ( \frac{2}{2}, \frac{14}{2} ) = (1, 7 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{4}{3} , then

y = - \frac{4}{3} x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - \frac{4}{3} + c ⇒ c = \frac{21}{3} + \frac{4}{3} = \frac{25}{3}

y = - \frac{4}{3} x + \frac{25}{3} ← equation of perpendicular bisector

7 0
2 years ago
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