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3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

Answer:

<em>The height of the tree is 19.81 m</em>

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

$\displaystyle \tan 33^\circ=\frac{X}{30.5}$

Solving for X

$X=30.5\cdot \tan 33^\circ$

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

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2 years ago

What is the value of a1 of the geometric series? Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 12 (negative o

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Step-by-step explanation:

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3 years ago

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Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation

Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

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3 years ago

What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10

siniylev [52]

Given:

The equation of a quadratic function is:

$H(x)=-x^2+10x-11$

To find:

The equation of the axis of symmetry for the given function.

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If a quadratic function is $f(x)=ax^2+bx+c$ , then the equation of the axis of symmetry is:

$x=-\dfrac{b}{2a}$ ...(i)

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$x=-\dfrac{10}{2(-1)}$

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Therefore, the correct option is C.

8 0

2 years ago