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2 years ago

Select the correct answer. Solve the equation using the method of completing the square. 2r2 + 16r - 8 = 0

Mathematics

2 answers:

adoni [48]2 years ago

8 0

Answer:

r=-4+2 $\sqrt{5}$ , r=-4-2 $\sqrt{5}$

hram777 [196]2 years ago

8 0

Did you try using photo math or math away

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3 years ago

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Find the value of tangent for angle A

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A hot air balloon is flying at an altitude of 800 feet. A passenger takes a picture of the top of a tree and estimates that the

nalin [4]

The height of the tree given the depression angle to the top and the base

is given by the tangent relationship of the two given angles.

Correct response:

The height of the tree is approximately <u>79.58 feet</u>

<h3 /><h3>Methods used for the calculation of the height of the tree</h3>

Given:

Altitude of the hot air balloon = 800 feet

Angle of depression to top of tree = 43°

Angle of depression to base of tree = 46°

Required:

Height of tree

Solution:

The horizontal distance of the balloon from the tree is given as follows;

$\displaystyle tan(46^{\circ}) = \frac{Altitude \ of \ balloon}{Horizontal \ distance \ from \ tree} = \mathbf{\frac{800 \, feet}{Horizontal \ distance \ from \ tree}}$

Therefore;

$\displaystyle Horizontal \ distance \ of \ balloon \ from \ tree = \frac{800 \ feet}{tan(46^{\circ})}$

$\displaystyle tan(43^{\circ}) = \mathbf{\frac{Height \ of \ balloon \ above \ tree}{\dfrac{800 \, feet}{tan(46^{\circ})} }}$

Therefore;

$\displaystyle Height \ of \ balloon \ above \ tree = tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})}$

Height of tree = Altitude of balloon - Height of balloon above tree

Therefore;

$\displaystyle Height \ of \ tree = 800 \, feet - tan(43^{\circ}) \times \frac{800 \, feet}{tan(46^{\circ})} \approx \underline{ 79.58 \, feet}$

Learn more about angle of elevation and depression here:

brainly.com/question/1978238

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2 years ago

Select the correct answer. Solve the equation using the method of completing the square. 2r2 + 16r - 8 = 0​

Select the correct answer. Solve the equation using the method of completing the square. 2r2 + 16r - 8 = 0