Mark is playing baseball after school. He wants to find the total distance he will need to ride his bike from school to the park
, where his game will be played. Find the distance Mark will ride to the park from school. Leave your answer in
simplest radical form if necessary.
- 6
- square root 13
- 5
- 2 square root 5
simplest radical form if necessary.
- 6
- square root 13
- 5
- 2 square root 5
2 answers:
You might be interested in
Hello!
Answer:
To solve, we will need to use Right-Triangle Trigonometry:
Begin by solving for angles ∠S and ∠R using tangent (tan = opp/adj)
tan ∠S = a / (1/2b)
tan ∠S = 3√5 / 14
tan ∠S ≈ 0.479
arctan 0.479 = m∠S (inverse)
m∠S and m∠R ≈ 25.6°
Use cosine to solve for the hypotenuse, or the missing side-length:
cos ∠S = 14 / x
x · cos (25.6) = 14
x = 14 / cos(25.6)
x ≈ 15.52
Both triangles are congruent, so we can go ahead and find the perimeter of the figure:
RS + RQ + QS = 28 + 15.52 + 15.52 = 59.04 units.
Hope this helped you! :)