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quester [9]
3 years ago
13

Terrance wants to determine the height, x, of a nearby tree. He stands 29 feet from the base of the tree. The measure of the ang

le of elevation from Terrance to the top of the tree is 53°.​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

x = 29tan53

Step-by-step explanation:

Given

Distance from base of the tree = 29feet

Angle of elevation = 53degrees

Required

Height of the tree = x

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 53 = x/29

x = 29tan53

Hence the required measure is x = 29tan53

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The slope of the line is (1/2).

The original equation is y=mx+b
m = slope
x = variable
b = y-intercept
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The radius r of a circle is increasing at a rate of 7 centimeters per minute. (a) find the rate of change of the area when r = 1
VikaD [51]
Dr /dt = 7

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            =  527.79 cm^2 / minute to nearest hundredth
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How to find midpoint of (-3,2) (1,3)
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(-1,2.5)

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The statement​ the sum of x and 7​% of x is at least 30​"
tigry1 [53]

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

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In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

5 0
3 years ago
Eden just bought a trough in the shape of a rectangular prism for her horses. She needs to know what volume of water to add to t
notsponge [240]

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let w represent the width, hence:

length = w + 33, height = w - 13

Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w

V(w) = w³ + 20w² - 429w

Rate of change = dV/dw = 3w² + 40w - 429

When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423

When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118

Rate = 10118 - 5423 = 4695 in³/in

The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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