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xxTIMURxx [149]
3 years ago
10

2. The Geo Air pilot is looking at SCCA from the plane. From the aircraft the angle of depression is 17 degrees. If the plane is

at an altitude of 10,000 feet, approximately how far is the plane to SCCA? Round your answer to the nearest tenth. The image is not drawn to scale. (2 points)

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

The distance  from the plane to SCCA is 34,203.0 feet approximately,  and the horizontal distance is 32,708.5 feet approximately.

Step-by-step explanation:

You can draw a right triangle like the one shown in the figure attached, where:

x: horizontal distance.

y: distance from the plane to SCCA.

You can calculate x as following:

tan\alpha=\frac{opposit}{adjacent}

Where:

\alpha=17\°\\opposite=10,000\\adjacent=x

Substitute and solve for x:

tan(17\°)=\frac{10,000}{x}\\\\x=\frac{10,000}{tan(17\°)}\\\\x=32,708.5ft

You can calculate y as following:

sin\alpha=\frac{opposit}{hypotenuse}

Where:

\alpha=17\°\\opposite=10,000\\hypotenuse=y

Substitute and solve for y:

sin(17\°)=\frac{10,000}{y}\\\\y=\frac{10,000}{sin(17\°)}\\\\y=34,203.0ft

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The sum of two rational numbers of 63, and their difference is 12? What are the numbers?
VladimirAG [237]

Answer:

The two numbers are 37.5 and 25.5

Step-by-step explanation:

Comment

Let the two numbers be x and y

Equations

x + y = 63

x - y =  12

Solution

Add the two equations. The ys cancel out.

2x = 75               Divide by 2

2x/2 = 75/3         Do the division

x = 37.5

Now use one of the given equations to solve for y

x + y = 63

x = 37.5

37.5 + y = 63                     Subtract 37.5 from both sides

37.5-37.5+y= 63 - 37.5     Collect the like terms on both sides

y = 25.5

Check

x - y =? 12

37.5-25.5 =? 12

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Can some one please help me find the solution of the question
creativ13 [48]

Answer:

x=16°

Step-by-step explanation:

tanθ=opposite/adjacent

tan(<CAB)=BC/AB

<CAB=tan⁻¹(21/29)=35.9097308°

tanθ=opposite/adjacent

tan(<DAB)=BD/AB

<DAB=tan⁻¹((21/2)/29)=19.90374954°

<CAB=<DAB+x

x=<CAB-<DAB

=35.9097308-19.90374954

x=16.00598126°

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