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abruzzese [7]
3 years ago
8

A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

<u>the tower </u><u>is</u><u> </u><u>4</u><u>3</u><u>m</u><u> </u><u>far</u><u> </u><u>from</u><u> the </u><u>vehicle</u><u> </u><u>.</u>

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Given that tan θ ≈ 1.072, where 0 &lt; θ &lt; , 2 π find the values of sin θ and cos θ.
anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072,  0 < Ф < 2 π,   tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

  Calculate hypotenuse

  c² = a² + b²

  c² = 1.072² + 1²

  c² = 2.149

  hypotenuse = c = 1.466

First quadrangle

  sin Ф = 1.072 / 1.466 = 0.731

  cos Ф = 1 / 1.466 = 0.682

Third quadrangle

  sin Ф = -1.072 / 1.466 = -0.731

  cos Ф = -1 / 1.466 = -0.682

5 0
2 years ago
Help please!<br> Solve the proportion for x.
Dovator [93]
1+3x /4= 5/2
1+3x = 5*4/2
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8 0
3 years ago
Read 2 more answers
In order for a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhol
solong [7]
Formula for the circumference: 
C = π d
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8 0
2 years ago
Can you please help me.
Oksanka [162]
The answer is A: -1/3x
4 0
2 years ago
- 4/9 + { - 1/3 } plz help
qwelly [4]
It would be -7/9



please can i have a brainliest
7 0
2 years ago
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