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alekssr [168]
2 years ago
11

A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado

w. A ladder is set up vertically 66 feet from the base of the tower so the top of the ladder touches the wire. What is the height of the ladder?
A. 6ft
B. 8ft
C. 10ft
D. 12ft
Mathematics
1 answer:
galben [10]2 years ago
5 0
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.


 

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If 3/x=5/y then what is the value of y/x?<br> plss help
netineya [11]

Answer:

Step-by-step explanation:

3/x=5/y

3y/x=5

y/x=5/3

7 0
2 years ago
Subtract b (b²+b -7) + 5 from 3b² – 8 and find the value of expression obtained for b = -3. please explain how you got the answe
Anon25 [30]

Answer:

16

Step-by-step explanation:

Subtracting the 2 expressions

3b² - 8 - b(b² + b - 7) ← distribute parenthesis

= 3b² - 8 - (b³  + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3 into the expression

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

8 0
2 years ago
Tranh dives off a 9 m platform. He reaches a maximum height of 9.2 m after 0.26 s. How long does it take him to reach the water
777dan777 [17]
He will reach the ground after 2.023 seconds.

To start, write a quadratic equation in vertex form with the given information about the vertex.

y=a(x-2.6)^2+9.2

All that we need to solve for is a. Plug in the point (0, 9) and you will be able to solve for a and write the complete equation.

Now, just use the quadratic formula and you will get 2.023 seconds for when he hits the ground.
3 0
2 years ago
Name the corresponding part if RST WXY.<br><br> ∠ T =
dedylja [7]
The answer to the corresponding part is <Y
8 0
2 years ago
Read 2 more answers
The choir club at a local school is running a field to a waterpark. There are 6 parks the club is considering. The director has
ddd [48]

The formula C(n, r)= \frac{n!}{r!(n-r)!}, where r! is 1*2*3*...r


is the formula which gives us the total number of ways of forming groups of r objects out of n objects.


for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.


<span>Thus, there are C(6, 3) many ways of forming different triples out of 6.</span>


C(6, 3)= \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=\frac{6\cdot5\cdot4\cdot3!}{3!3!}=\frac{6\cdot5\cdot4}{3!}=\frac{6\cdot5\cdot4}{3\cdot2\cdot1}=5\cdot4=20


Answer: A.20

5 0
2 years ago
Read 2 more answers
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