Mike constructed a quadrilateral POQS. He used a compass and straightedge to accurately construct line segment OS, as shown in t
he figure below. Which could be the measures of angle POS and angle POQ?
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°
(A)m POS = 30°mZPOQ = 50°
(B)mZPOS - 30°,mZPOQ-65°
(C)m POS -25°,mZPOO-65° (D)mZPOS=25mZPOQ -50°
1 answer:
You might be interested in
I have attached the image associated with this question
Answer:
tan (60) = √3
Explanation:
The given triangle is right-angled triangle, therefore, we will use Pythagorean theorem to get the length of the third side.
third side = sqrt [(hypotenuse)^2 + (second side)^2]
third side = 21√3 units
Since the given triangle is a right-angled triangle, we can apply the special trigonometric identities.
Therefore:
tan θ = opposite / adjacent
In the given triangle:
θ = 60°
The opposite side = 21√3
The adjacent side = 21
Substitute in the above equation to get tan 60 as follows:
tan (60) = (21√3) / (21) = √3
Hope this helps :)
Answer:
tan (60) = √3
Explanation:
The given triangle is right-angled triangle, therefore, we will use Pythagorean theorem to get the length of the third side.
third side = sqrt [(hypotenuse)^2 + (second side)^2]
third side = 21√3 units
Since the given triangle is a right-angled triangle, we can apply the special trigonometric identities.
Therefore:
tan θ = opposite / adjacent
In the given triangle:
θ = 60°
The opposite side = 21√3
The adjacent side = 21
Substitute in the above equation to get tan 60 as follows:
tan (60) = (21√3) / (21) = √3
Hope this helps :)