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spin [16.1K]
3 years ago
11

David is standing 500 feet away from the base of a cell phone tower. The angle of elevation from his eyes to the top of the towe

r is 78 degrees. If David’s eyes are 6 feet above the ground, how tall is the tower?
Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

height of the tower = 2358.3 feet

Step-by-step explanation:

To solve this question, we can use the tangent relation of the angle of elevation, where the opposite side of the angle is the height of the tower minus six feet and the adjacent side of the angle is the distance from David to the tower. So, we have that:

tangent(78) = (height - 6)/500

4.7046 = (height - 6) / 500

height - 6 = 2352.3

height = 2358.3 feet

You might be interested in
The question is 8 * 24 - 1/10​
riadik2000 [5.3K]

Answer:

191.9

Step-by-step explanation:

(8 × 24) - (1 ÷ 10)=191.9

5 0
3 years ago
Mr. Chang wants to retire in 10 years. He deposits $650.00 every three months into his retirement investment account. If the acc
Fittoniya [83]

Answer:

Mr. Chang will have 15714.90 dollars.

Step-by-step explanation:

p = 650

r = 7.8/4/100=0.0195

Number of periods or n = 5\times4=20

Future value formula is : p[\frac{(1+r)^{n}-1}{r} ]

Putting the values in formula we get;

650[\frac{(1+0.0195)^{20}-1}{0.0195} ]

= $15714.90

Hence, Mr. Chang will have 15714.90 dollars.

5 0
4 years ago
Solve the system using elimination.
scZoUnD [109]

Answer:

y=50 and x=-173/2

Step-by-step explanation:

52-2y=-48

∴-2y=-100

y=50

and 2x+3y=-23

y=50→(1)

2x+3y=-23→(2)

Putting y=50 in equation (2), we get

⇒2x+3y=-23

⇒2x+3(50)=-23

⇒2x+150=-23

⇒2x=-23-150

⇒2x=-173

⇒x=-173/2

∴y=50 and x=-173/2

7 0
3 years ago
How do you do this question?
alina1380 [7]

Answer:

(8√2) / 15

Step-by-step explanation:

A curve bounded by the y-axis is represented by in terms of dy;

\int \:x\:dt

When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;

0 = t^2 + 2t --- (1)

Solution(s) => t = 0, t = 2

dy = (1/2 * 1/√t)dt --- (2)

Our solutions (0, 2) are our limits. The area of the curve is in the form A\:=\:\int _b^a\:f\left(t\right)g'\left(t\right)dt , so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....

A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}

Your solution is 8√2 / 15

7 0
3 years ago
What is the value of the slope of a line that is perpendicular to y= 1/2x +8
Dvinal [7]

Answer:

the Answer is B -2

Step-by-step explanation:

the opposite

7 0
3 years ago
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