Answer:
Step-by-step explanation:
take 26 degree as reference angle
using cos rule
cos 26=adjacent/hypotenuse
0.89=x/69
0.89*69=x
61.41=x
61.4=x
Dereck and Sam are standing 3.1 feet apart.
The situation forms two right angle triangle.
<h3>What is a right angle triangle? </h3>
A right angle triangle is a triangle that has one of its angles as 90 degrees.
Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.
Sam looks at the goal with an angle of elevation of 43°.
Sam is directly in front of Dereck. Therefore,
Dereck distance from the base of the basket ball can be found as follows:
tan 29 = opposite / adjacent
opposite side = 10 ft - 5.83 ft = 4.17 ft
tan 29 = 4.17 / x
x = 4.17 / 0.55430905145
x = 7.52287913948
x = 7.523
Sam distance from the base of the basket ball can be found as follows
tan 43 = 4.17 / y
y = 4.17 / 0.93251508613
y = 4.47177752084
y = 4.471
There feet apart = 7.523 - 4.471 = 3.052 = 3.1 feet
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The scale factor equal to 1 will have No Effect on the dimensions of the image being scaled .
In the question ,
it is given that ,
the scale factor is = 1.
we have to find the effect of change ;
we know that ,
when the value scale factor is greater than 1 , then dimensions of new image is larger than original .
when the value of scale factor is 1 , then there is no change in the dimensions of the image .
when the value of scale factor is less than 1 , then the dimensions of new image is smaller than the original .
Therefore , if the scale factor is 1 , then there is no change in the dimensions of the image .
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Answer:
6
Step-by-step explanation:
The ratio of the number of coins carlo had to the number of coins eli had is 4 : 1
<h3>What are ratios?</h3>
Ratios are used to compare quantities of different measurements
Represent the amount of coins each person by the first letter of their names
So, the given parameters are:
The ratio of the number of coins carlo had to the number of coins eli had is represented as:

Substitute 2d for c

Substitute 2e for d


Cancel out the common factor

Hence, the ratio is 4 : 1
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