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Cerrena [4.2K]
4 years ago
10

Calculate the angle of depression, x, if the boat is 850 ft. away from the lighthouse and the lighthouse is 250 ft. high. Round

your answer to the nearest tenth. Do not include units.

Mathematics
1 answer:
trapecia [35]4 years ago
6 0

Firstly , we can draw diagram

we can see that

adjacent = 850

opposite =250

so, we can use tan formula

tan(x)=\frac{250}{850}

x=tan^{-1}(\frac{250}{850})

16.38

x=16.38

so,

angle of depression is 16.38 degree........Answer

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What is the seventh term of the geometric sequence with a first term of 729 and a common ratio of ?
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<u>Given</u>:

Given that the first term of the geometric sequence is 729.

The common ratio is \frac{1}{3}

We need to determine the seventh term of the sequence.

<u>Seventh term</u>:

The seventh term of the sequence can be determined using the formula,

a_n=a_1(r)^{n-1}

To find the seventh term, let us substitute n = 7 in the above formula, we get;

a_7=a_1(r)^{6}

Now, substituting a_1= 729 and r=\frac{1}{3}, we get;

a_7=729(\frac{1}{3})^{6}

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8 0
3 years ago
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Answer:

s = 54m +160

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

(m_1,s_1) = (2,268)

(m_2,s_2) = (4,376)

Next, we determine the slope, M:

M = \frac{s_2 - s_1}{m_2 - m_1}

M = \frac{376 - 268}{4-2}

M = \frac{108}{2}

M = 54

The equation is then calculated as:

s - s_1 = M(m - m_1)

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M = 54

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s - 268 = 54(m - 2)

Open bracket

s - 268 = 54m - 108

Collect like terms

s = 54m - 108 + 268

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Hence, the equation is: s = 54m +160

4 0
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when a boat travels against the current is upstream-->slow down. If the rate of the boat in still water is 27 mph and the rate of the current of a river is x mph, the rate of the boat when the boat is going upstream is 27-x

6 0
3 years ago
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Answer:

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Because the function has been reflected, it opens down.

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Step-by-step explanation:

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