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amid [387]
2 years ago
5

A lighthouse sights a boat. The angle of depression from the top of the lighthouse to the boat is 7 degrees. At this time, the h

orizontal distance from the boat to the bottom of the lighthouse is 820 meters. What is the height of the lighthouse to the nearest meter?
Mathematics
2 answers:
arsen [322]2 years ago
5 0

Answer:

100.7 equals h

Step-by-step explanation:

koban [17]2 years ago
3 0

Answer:

Step-by-step explanation:

tan7=h/820

h=820tan7

h=101m

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What is the slope of each side of the triangle? the sides are A(-2,4) B(-1,1) C(2,3)
Rashid [163]

Answer:

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

Step-by-step explanation:

The slope is denoted by m and is calculated using the formula

m = \frac{y_2-y_1}{x_2-x_1}

The given vertices are:

A(-2,4) B(-1,1) C(2,3)

The sides will be:

AB, BC, AC

Let m1 be the slope of AB

Let m2 be the slope of BC

Let m3 be the slope of AC

Now

Slope\ of\ AB = m_1 = \frac{1-4}{-1+2} = \frac{-3}{1} = -3\\Slope\ of\ BC = m_2 = \frac{3-1}{2+1} = \frac{2}{3}\\Slope\ of\ AC = m_2 = \frac{3-4}{2+2} = \frac{-1}{4} = -\frac{1}{4}

Hence,

The slopes of three sides of triangle are as follows:

AB = -3

BC = 2/3

AC = -1/4

6 0
2 years ago
Hi how are you? :)<br><br> free points &lt;3
bixtya [17]

Answer:

thank you

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Find the slope of the line that<br> passes through the following<br> points. (0,0), (-2,-4)
Ann [662]

Answer:

m=2

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Need help with this one
Vedmedyk [2.9K]
The answer is 20% since the percentages cancels each other out.
8 0
3 years ago
A rectangle has a width of 59 centimeters and a perimeter of 238 centimeters. What is the rectangle's length?
Mademuasel [1]

Answer:

60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = \frac{120}{2}

L = 60

5 0
2 years ago
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