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hodyreva [135]
3 years ago
11

From the top of a tower the angle of depression of a boat is 60 degrees. If the tower is 50 metres high, how far is the boat fro

m the foot of the tower (to the nearest metre).
Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

29 m

Step-by-step explanation:

Given:

Height of tower h = 50

Angle of depression θ= 60°

The distance d between the boat and the tower is;

Applying trigonometry;

Tanθ = opposite/adjacent

θ = angle of depression

Opposite = height of tower

Adjacent = distance from the boat to the bottom of the tower.

Substituting we have;

Tan60° = h/d = 50/d

d = 50/tan60°

d = 28.86751345948

d = 29 m ( to the nearest meter)

the boat is 29 meters from the foot of the tower

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A video game box is 15 inches long and 10
Bumek [7]

Answer:

The box is 5 inches tall

Step-by-step explanation:

The given dimensions of the video games are;

The length of the video game, L = 15 inches

The width of the video game, W = 10 inches

The volume of the video game box, V = 750 cubic inches

Assuming that the shape of the video game box is a cuboid, we have;

The formula for the volume of a cuboid, V = Length, L × Width, W × Height, H

∴ V = L × W × H

The height of the cuboid, H = V/(L × W)...(1)

Where, for the video game box;

L = Length = 15 in.

W = Width = 10 in.

V = Volume = 750 in.³

Plugging in the values of the variables in equation (1) gives;

H =  V/(L × W) = 750 in.³/(15 in. × 10 in.) = 5 in.

The height of the box, H = 5 inches.

5 0
3 years ago
6. What is the value of x?<br> A. 10<br> B. 8<br> C. 4<br> D. 6
AlladinOne [14]

Answer:

(4)2=x-2

8=x-2

x=8+2

x=10

6 0
3 years ago
If a = 5 centimeters, w = 10 centimeters, and h = 6 centimeters, what is the area of the decorative paper he will require?
Marta_Voda [28]

Answer:

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Step-by-step explanation:

3 0
4 years ago
What is meant by "bias due to selective survival" in cross-sectional studies? Under what circumstances might there be no selecti
Rudik [331]

Answer:

What is meant by "bias due to selective survival" in cross-sectional studies?

First lets understand what is selective bias in cross-sectional studies. Basically its the bias that occurs when the random sample data for some analysis is selected in improperly. Such a selected sample is not able to represent the population that is to be analyzed. The reason is the improper randomization. So "bias due to selective survival" means that only the survival participants or survivors can be considered in this cross sectional studies. So if there is more probability of exposed cases to survive than unexposed cases or it could also be possible that unexposed cases have more probability to survive than exposed ones, so in either case the conclusion drawn from this cross sectional studies may differ from the proper cohort study. So the selective bias is introduced. Hence we can say that there is bias due to selective survival.

Step-by-step explanation:

Under what circumstances might there be no selective survival bias even if the selection probabilities are not all equal?

If the cross product of selection probabilities equals 1. Then there might be no selective survival bias even if the selection probabilities are not all equal. As we know that the cross product of odd ratio of selection probabilities is 1 means there is no relation between exposure and consequence or outcome and there is no bias in odd ratio.

Suppose that you could assess that the direction of possible selective survival bias in your study was towards the null. If your study data yielded a non-statistically significant odds ratio of 1.04, would it be correct to conclude that there was no exposure-disease association in your source population?

It would not be correct to conclude that there was no exposure-disease association in your source population because if the possible selective survival bias in the study was towards the null then this implies that the true odds ratio would be larger than 1.04. and therefore likely to be large and also differ statistically for the null value.

8 0
3 years ago
How many lines of symmetry does this figure have
scZoUnD [109]

Answer:

d

Step-by-step explanation:

3 0
1 year ago
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