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sammy [17]
3 years ago
15

You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the groun

d and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. (a) What is the measure of the other acute angle?(b) What is the height of the tree?

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

(a)55^o

(b)350.1ft

Step-by-step explanation:

The sum of the angles inside a triangle must be 180°, but from the right angle we already have 90°, so the sum of the two acute angles is 90°, then:

90^o-35^o=55^o

Let s be the length of the shadow and h the height of the three, so tan(35) is

tan(35^o)=\frac{h}{s}

Solving that last equation for h:

h=s*tan(35)=500(0.7002)=350.1ft

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A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i
Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

x+y=5200 or x=5200-y  .... (1)

As, total income for the two investments is $194, so equation is:

0.04x+0.03y=194   ....(2)

Putting value of x from (1) in (2)

0.04(5200-y)+0.03y=194

208-0.04y+0.03y=194

0.01y=14

y=1400

And x=5200-y

x=5200-1400=3800

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0
3 years ago
Order these numbers from least to greatest. 7.63, 7.6032, 7.6, <br>​
Komok [63]

Answer:

7.6032,7.63,7.6

Sorry if I am wrong.

Step-by-step explanation:

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3 years ago
The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.​
valentinak56 [21]

Check the picture below.

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7 0
3 years ago
What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show
jarptica [38.1K]

The remainder of the polynomial equation is -49

<h3>What is a remainder of a polynomial equation?</h3>

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} }

Using the long division method, we have:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}

Divide by \mathbf{ \dfrac{-10x^2+7x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}

Divide by \mathbf{\dfrac{27x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}

Learn more about finding the remainder of a polynomial equation here:

brainly.com/question/24978997

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2 years ago
What is the solution to the system of equations? <br>y=2/3x+3<br>x=-2​
arsen [322]

Answer:

(x, y) and (2, 49)

Step-by-step explanation:

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