Can someone me do these 2 questions? ? it's trigonometry..

  6.  36°

  7.  33.1 cm

Step-by-step explanation:

6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...

  tan(angle) = (18 km)/(25 km)

Then the angle can be found using the inverse tangent function:

  angle = arctan(18/25) ≈ 35.75°

The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.

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7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...

  cos(72°) = (diameter of glass)/(straw length to glass rim)

  straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017

  straw length to glass rim ≈ 29.1 cm

The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.

where are the choices?