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Dmitriy789 [7]
1 year ago
12

Maths Trigonometry Question 100 points up for grabs! Will give brainliest to whoever answers

Mathematics
2 answers:
Marina86 [1]1 year ago
7 0

14.)

See the diagram below.

Here use tan rule:

\sf tan(x) = \dfrac{opposite}{adjacent}

\sf tan(41+ \frac{30}{60} ) = \dfrac{18.7}{adjacent}

\sf adjacent = \dfrac{18.7}{tan(41.5)}

\sf adjacent = 21.14

The height of the lighthouse is 21.14 m.

15.)

See the diagram below.

Here use tan rule:

\sf tan(x) = \dfrac{opposite}{hypotenuse}

\sf tan(18.6) = \dfrac{opposite}{128}

\sf opposite = 128 tan(18.6)

\sf opposite = 43.08

The plane travelled 43.08 km far south.

Gekata [30.6K]1 year ago
5 0

Answer:

14) 21.136505024965 m

15) 43.076759215619 km

Step-by-step explanation:

14)

let h be the height of the lighthouse:

tan(41.3) = 18.7/h

Then

h = 18.7÷tan(41.5)

  = 21.136505024965 m

………………………………………

15)

90-71.4 =18.6

Let s be the distance that the plane flew

towards the south:

tan(90 - 71.4) = s/128

Then

tan(18.6) = s/128

Then

s = tan(18.6)×128

  = 43.076759215619 km

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Equation at the end of step 1

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     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

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