Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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Answer:
Step-by-step explanation:
We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .
We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .
On using point slope form ,
Substitute the respective values ,
Simplify ,
Multiply both sides by 4 ,
Put all terms on same side , i.e. on LHS ,
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> </u><u>the</u><u> line</u><u> </u><u>is </u><u>3x</u><u> </u><u>+</u><u> </u><u>4</u><u>y</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>=</u><u> </u><u>0</u><u>. </u>
Answer:
eccentricity; e = 1/7
k = 12
Conic section; Ellipse
Step-by-step explanation:
The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/7;
The polar equation of the conic section is now in standard form;
The eccentricity is given by the coefficient of cos theta in which case this would be the value 1/7. Therefore, the eccentricity of this conic section is 1/7.
The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.
The value in the numerator gives the value of k; k = 12