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2 years ago

A tree casts a shadow that is 125 feet in length. The angle of elevation with the sun is 32°. What is the height of the tree?

Mathematics

1 answer:

Molodets [167]2 years ago

4 0

Answer:

Height of the tree is 78.11 feet.

Step-by-step explanation:

By applying the tangent rule in the right triangle formed,

Since, tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(32)° = $\frac{h}{125}$

h = 125(tan32°)

h = 125(0.62487)

h = 78.109

≈ 78.11 ft

Height of the tree will be 78.11 feet.

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if the breadth of rectangle in one third of it's length and perimeter is 80 cm,find the length and breadth of rectangle

Serhud [2]

Length＝x
Breadth＝1/3x
(x＋1/3x)×2＝80
4/3x×2＝80
8/3x＝80
x＝30
Length＝30
Breadth＝1/3×30＝10

Hope my answer helped u :)

7 0

2 years ago

1. Evaluate

Dmitry_Shevchenko [17]

1. Evaluate (2-2^3)^3-4x(-4)

$(2-2 x^{3} )^{3} -4x(-4)=8-8x^{9} -16x$ 
 $=8(1-x^{9} -2x)$ 

2. Compute
-453+(-5.34)=-453-5.34
=-458.34
-56+27.4=-28.6

3. Use <, >, or =

9 > -8
-12 < -3
-4 > -7

6 0

3 years ago

Given ABC find the values of x and y. In your final answer, include all of your calculations.

kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be $\frac{x}{6} =\frac{6}{x-9}$

Firstly, cross-multiply: $x^2-9x=36$

Next, subtract 36 on both sides: $x^2-9x-36=0$

Next, replace -9x with 3x-12x $x^2+3x-12x-36=0$

Next, factor x^2+3x and -12x-36 separately: $x(x+3)-12(x+3)=0$ . After, rewrite it as $(x-12)(x+3)=0$

Next, solve for x separately in the two parentheses:

$x-12=0\\ x=12$

$x+3=0\\ x=-3$

Since we can't have a negative length, x = 12.

To solve for y, our proportion will be $\frac{y}{9} =\frac{12}{y}$

Firstly, cross-multiply: $y^2=108$

Next, just square root each side, and your answer will be (rounded to hundredths) $y=10.39$

In short, x = 12 and y = 10.39.

5 0

3 years ago

This is for a Math test plz help

Roman55 [17]

3x-4=y

2x-1=y

????

because x-2=y

6 0

3 years ago

Read 2 more answers

John is building his daughter a doll house that is a miniature model of their house. The front of their house has a circular win

n200080 [17]

Answer:

see the procedure

Step-by-step explanation:

we know that

The scale factor of the model is 1/30

That means ----> 1 unit in the model represent 30 units in the actual

using proportion

Find out how much represent 5 ft in the model

Convert feet to inches

Remember that

$1\ ft=12\ in$

$5\ ft=5(12)=60\ in$

Let

x -----> the diameter of the circular window in the model house in inches

$\frac{1}{30}=\frac{x}{60}\\\\x=\frac{60}{30}\ in$

Simplify

$2\ in$

therefore

The diameter of the circular window in the model house is 2 inches

see the attached figure to better understand the problem

8 0

3 years ago