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3 years ago

8

Jared is standing on the roof of a 100 meter building doing some surveying. He spots a delivery truck at an angle of depression

of 30 degrees. How far is the truck from the base of the building?

2 answers:

just olya [345]3 years ago

8 0

1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.

2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2

(√3)/2 = x/100 and x = (100√3)/2

and x = (50.√3) = 86.60 m

Brums [2.3K]3 years ago

3 0

The truck is 173.20508 meters away because the triangle is a 30 60 90 degree triangle. Therefore you would do. 100(radical)3

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Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

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$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

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Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

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Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

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3 years ago

Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.

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Answer:

$3x+5y$

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

$(9x+2y)-(6x-3y)$

This can also be seen as:

$(9x+2y)-1(6x-3y)$

Distribute the -1 to (6x-3y):

$(9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y$

Simplify the parentheses:

$9x+2y-6x+3y$

Group like terms:

$(9x-6x)+(2y+3y)$

Combine:

$3x+5y$

This expression can't be further simplified. Therefore, 3x+5y is the answer.

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