Malaya is standing directly between a 90 foot tall courthouse and a 54 foot tall bank. If the angle of elevation from Malaya to the top of the courthouse is 72° and the angle of elevation from Malaya to the top of the bank is 35°. What is the distance between the courthouse and the bank?
Answers
Answer:
the distance is about 106.36 feet
The distance between the courthouse and the bank is about 81.8 feet.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
We are given that;
Height of court house= 90 foot
Height of bank= 54 foot
Now,
Use the tangent function to write two equations relating x, y, and the angles. For example:
tan(72°)=x90
tan(35°)=y54
Solve for x and y by multiplying both sides by x and y respectively. For example:
xtan(72°)=90
ytan(35°)=54
Divide both sides by tan(72°) and tan(35°) respectively to get x and y. For example:
x=tan(72°)90≈24.8
y=tan(35°)54≈77.9
Use the Pythagorean theorem to find z in terms of x and y. For example:
z2=x2+y2
Substitute the values of x and y and simplify to get z. For example:
z2=(24.8)2+(77.9)2
z2=615.04+6068.41
z2=6683.45
z=6683.45≈81.8
Therefore, by Pythagoras theorem the answer will be 81.8 feet.
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Related Questions
what is f(3) if f(x) = –4x + 1?
Answers
════════ ∘◦❁◦∘ ════════
Answer = -11════════════════════
Knownf(x) = -4x + 1
════════════════════
Questionf(3) = ..?
════════════════════
Way to do#since the x in (x) changed into (3) this means that the x change into (3)
f(3) = -4(3) + 1
f(3) = -12 + 1
f(3) = -11
════════════════════
Answer:
f(3) = 13
Step-by-step explanation:
4x3=12
f(3)=12+1
12+1=13
Please answer this question, and happy valentines day!! <3
Answers
Given:
The two ways table.
To find:
The number of girls in year 9.
Solution:
Using the two ways table, we get
Boys in year 10 = Total student in year 10 - Girls in year 10
= 256 - 123
= 133
Boys in year 9 = Total boys - Boys in year 10 - Boys in year 11
= 407 - 133 - 125
= 149
Girls in year 9 = Total students in year 9 - Boys in year 9
= 303 - 149
= 154
Therefore, the number of girls in year 9 is 154 and the correct option is C.
Describe two methods that can be used to find the area of the composite figure. Doing 45 pts and brainliest.
Answers
1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.
2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.
Hope this helps, and have a wonderful day!
Describe the location of the point having the following coordinates.
negative abscissa, zero ordinate
A. between Quadrant I and Quadrant IV
B. between Quadrant II and Quadrant III
C. between Quadrant II and Quadrant IV
D. Quadrant II
Answers
Answer:
between quadrant 2 and 3
Step-by-step explanation:
What is 22.5% of 90?
A) 20
B) 20.25
C) .2025
D) 2025
Answers
Answer: B) 20.25
Step-by-step explanation:
22.5% = 0.225
22.5% of 90 = 0.225 * 90 = 20.25
Hope it helps and lmk if you need more info <3 :D
Answer:
B. 20.25
Step-by-step explanation:
22.5 percent *90 =
(22.5:100)*90 =
(22.5*90):100 =
2025:100 = 20.25
What is sin 45°?
45°
va
1
1
90°
45°
Answers
Answer:
Step-by-step explanation:
330
What is this problem ? 6/2(1+2)= ? but yo can't look this answer up ok and another thing explain
Answers
Answer:
9.
Step-by-step explanation:
First solve 1+2. That is 3.
6/2 is 3.
So then we have 3 x 3, which is 9.
(pls mark as brainliest, thank you)
the scale price is 120% . This is 75% of the original price. find the original price
Answers
Answer:
160%
Step-by-step explanation:
120% = 75%
1.6%=1%
160%=100%
therfore 160% is the original
2.) Vito uses 9 liters of water to water 20 flower pots. He is wondering how many liters of water (w) it
would take to water 40 flower pots. He assumes he will use the same amount of water on each pot.
How many liters of water does it take to water 40 flower pots?
Answers
Answer:
18 liters of water to water 40 flower pots
Step-by-step explanation:
Because you doubled the amount of flower pots and you just do the same thing with the water
help i hate .math..........
Answers
6 divided by [tex]\frac{8}{9}[/tex] is the same as 6/1 multiplied by 9/8, which gives us 7 as the whole answer. therefore, I think number 1 and 4 are the correct selections
Help pleasee , find the length of the missing side . The triangle is not drawn to scale
Answers
Answer:
$*
Step-by-step explanation:
$=4 *=8
48
Answer Plz and thank you
Answers
Answer:
c) is ur answer thanku
hope it helps
EFGH is a square with diagonals EG and HF that intersects at O. What is the measure of m angle HOG
Answers
Answer:
90 degrees
Step-by-step explanation:
in a square the diagonals always intersect to form 90 degree angles.
What is the slope of the line on the graph?
Answers
Answer:
87
Step-by-step explanation: im genius at math
Answer:
I think the slope would be (2,4)
Step-by-step explanation:
Becuse it rises by 2 and runs by 4
Simplify the polynomial by combining like terms. Make sure your anwser is in standard form: 4x + 7 - 8x (2) + 2x + 5x (2) - 11
Also, keep in mind that the numbers that are in parenthesis are the exponents.
Answers
Answer:
-3x² + 6x - 4Step-by-step explanation:
Simplify:
4x + 7 - 8x² + 2x + 5x² - 11 =x²(-8 + 5) + x(4 + 2) + (7 - 11) =-3x² + 6x - 4Answer:
[tex] \tt \huge \boxed{ \boxed{\color{silver} { - 3x}^{2} + 6x - 4}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraalgebraic addition subtractionPEMDAStips and formulas:quadratic expression standard form:ax²+bx+corder of PEMDASparenthesesexponentmultiplication ordivisionadditionsubtractionleft to rightgiven:4x+7-8x²+2x+5x²-11to dosimplificationlet's do:[tex]step - 1 : define[/tex]
[tex] \sf 4x + 7 - {8x}^{2} + 2x + {5x}^{2} - 11[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \tt \: rewrite : \\ \sf {8x}^{2} + {5x}^{2} + 4x + 2x + 7 - 11[/tex][tex] \tt \:combine \: like \: terms: \\ \sf { - 3x}^{2} + 6x + 7 - 11[/tex][tex] \tt \: substrak : \\ \sf { - 3x}^{2} + 6x - 4[/tex]therefore
we can see the expression is in standard form since a,b and c is -3,6 and -4
also let's justify it
substitute the value of a,b and c respectively
(-3)x²+(6)x+(-4)
-3x²+6x-4 (proven)
Pleaseee helppp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answers
ANSWER ASAP I NEED HELP!!!!
Using the triangle inequality theorem. Do these side measures form a triangle? 9,5,7
yes or no.
Answers
Answer:
[tex]9x + 5y < 7[/tex]
this is the way u perfom enequality therom
now weite ur answer
Step-by-step explanation:
Triangle inequality theorem =The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
9 + 5 > 7
14 > 7 (True) ✔
5 + 7 > 9
12 > 9 (True) ✔
9 + 7 > 5
16 > 5 (True) ✔
So these side measures form a triangle.
hope you understood.
The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house
Answers
Answer:
12 i think
Step-by-step explanation:
Please Answer
If each quadrilateral below is a rectangle, find the missing measures
Answers
The measure of two side of a triangle are given. If p is the perimeter and p=18x+9y find the measure of the third side?
Answers
Answer:
2x + 2y
Step-by-step explanation:
10x + 5y - ( 3x + 4y + 5x - y )
10x + 5y - 3x - 4y - 5x + y)
2x + 2y
Simplify. -y -7x + 7y
The simplified expression is ___y - ____x.
Answers
Answer:
the simplified expression is: 6y-7x
Step-by-step explanation:
-y+7y= 6y
-7x
= 6y-7x
The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops
Price (dollars)
3
6.50
7
12.50
11
18.50
What is the fee per stop?
Answers
I got $1.50
Hope I helped
a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h
Answers
Answer:
6 km/hr or 5 km/hr
Step-by-step explanation:
In the lake, she goes 15 km at x km/hr (named)
In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)
So, the time in the lake - the time in the river = 1 hour (given)
15/x - 6/x-2 = 1 --> x=6;x=5
The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.
Given :
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km.Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake.She paddles across the lake for one hour longer than she paddled up the river.According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr
Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:
[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]
Now, simplify the above expression.
[tex]15(x-2)-6(x)=x(x-2)[/tex]
[tex]15x-30-6x=x^2-2x[/tex]
[tex]x^2-11x+30=0[/tex]
Factorize the above equation.
[tex]x^2-6x-5x+30=0[/tex]
x(x - 6) - 5(x - 6) = 0
(x - 6)(x - 5) = 0
x = 6 or 5
For more information, refer to the link given below:
https://brainly.com/question/25277954
What number replaces C to complete the square of the equation below
Find the solution to problem seven using the complete square method
Answers
Answer:
c= 25, solutions: x = 3, x= -13
Step-by-step explanation:
(10/2) ^2 = 25
(x+5)^2 = 64
please help!!! A pair of parallel lines are reflected. Which of these could be the result? thankyou!! (will mark brainliest
Answers
Answer:
C
Step-by-step explanation:
parallel lines never cross
Tiffany has a job at the Best Bite Restaurant making $8 per hour. She earned $25 for the training shift. Find the rate of change and initial value. Write an equation.
Answers
Answer:
Initial value: $25; Rate of change: 48; Equation: y= 8x + 25
Step-by-step explanation:
The initial value would be the $25 due to the fact that that's how much money she made during training. After that, her money will go up by $8 for every hour she works for, which is why that's the rate of change.
The equation just restates all that, the rate of change is always represented by the mx in the equation (8 replaces the m), and 25 replaces the b, the start of the line, or on a graph, where the initial dot would be on the y-axis.
Hope this helped!
1+2
Please help
filler filler filler
Answers
Answer:
1+2=3 is answer
Step-by-step explanation:
so what help u need?
The table shows the relationship between c, the number of calories burned and f, the number of stairs climbed. What is the equation that best represents the relationship between f and c shown in the table?
Answers
Answer:
c=5f
Step-by-step explanation:
the number of calories burned is five per each flight of stairs
mrs.gretta is teaching a 5th grade class. She is standing 12 meters in front of ethan. isabella is sitting to ethans right. if isabella and mrs.gretta are 15 meter apart how far apart are ethan and isabella?
Answers
Answer:
Ethan and Isabella are 9 meters apart.
Step-by-step explanation:
1. We can solve this using the Pythagorean Theorem, a²+b²=c².
2. Mrs. Gretta is standing 12 meters in front of Ethan, so a=12.
3. Isabella is sitting to Ethan's right, but we don't know how far away, so b=x.
4. Mrs. Gretta is 15 meters from Isabella, so c=15.
5. Plugging these variables into the equation, we get 12²+x²=15² which equals 144+x²=225.
6. We can move 144 to the other side to get x²=81, then square the 81 to get x=9.
7. Therefore, the answer is 9. Ethan and Isabella are 9 meters apart.
please help click image for question
Answers
Answer:
12c8/d2.....option 1.........