Question

ANGLE TRAININGAccording to C-3PO, the planets Dagobah and Saleucami form a right angle at theplanet Mustafar. The distance from Mustafar to Dagobah is 3.4 lightyears andfrom Dagobah to Saleucami is 4.7 lightyears. While they are facing Dagobah, whatangle must the spaceship take to return to Mustafar?

Answer 1

36°

Step-by-step explanation

To answer this question properly, it is best to first sketch the image of all that is described here.

Let the angle that the spaceship must take to go back to Mustafar from Saleucami while facing Dagobah be x

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is x, the trignometric ratios in short forms are written as

SOH, CAH and TOA

SOH means Sin x = (Opp/Hyp)

CAH means Cos x = (Adj/Hyp)

TOA means Tan x = (Opp/Adj)

So, the one to be used depends on the sides of the triangle that are provided.

For this question,

Hypotenuse = ?

Opposite = 3.4 lightyears

Adjacent = 4.7 lightyears

Angle = x = ?

TOA means Tan x = (Opp/Adj)

Tan x = (3.4/4.7)

Tan x = 0.7234

x = Tan⁻¹ (0.7234)

x = 35.9° = 36°

Hope this Helps!!!