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andreev551 [17]
2 years ago
15

A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

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An arrow is shot vertically upward from a platform 16ft high at a rate of 190ft/sec. When will the arrow hit the ground?
natta225 [31]

Answer:

time required for arrow  to reach ground is 10.8  sec

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Step-by-step explanation:

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Given formula is  

h=−16t²+vt+h0

adding the values, we get

h(t)= -16t²+190t+16

so we have to find when the hit he ground, so at ground the height will be 0  

0= -16t²+190t+16

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using the quadratic formula

x = (-b +(b2 - 4ac)1/2)/2a

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x= -190 + ((-190)²- 4 (-16)(16) ½ / 2(-16)

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taking under root  

x= -190  + ( -190+32)/ -32

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x= 190 -158)/-32                         x= 190 +158)/-32

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or t = 10.875

so the negative root has no practical significance  

and we have t = 10.8 seconds to the nearest tenth  

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