The picture shows a triangular island:

a right triangle is shown with an acute angle equal to 55 degrees. the length of the side of the triangle opposite to the acute angle is r. the length of the side of the triangle adjacent to the acute angle is s. the length of the hypotenuse is q.

which expression shows the value of q?

The expressions that show the value of q are

1)

2)

3)

4)

5)

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

case A)

In the right triangle of the figure

Applying the Pythagoras Theorem

case B)

In the right triangle of the figure

solve for q

case C)

In the right triangle of the figure

solve for q

case D)

In a right triangle

if

then

therefore

------>

------>  

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

replication and blocking

step-by-step explanation: