Find PQ if possible
1 answer:
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We are given :
The ratio of orange juice to pineapple juice in tropical treat punch = 4:3 or 4/3.
Number of oz of orange juice = 64 oz.
Let us assume number of oz pineapple juice does he need = p.
We can setup an proportion:
64 : p = 4 : 3
On cross multiplication we get
64 × 3 = 4 × p
192 = 4p
Dividing both sides by 4, we get
p = 48.
<h3>Therefore, he needs 48 oz of pineapple juice.</h3>
The correct answer is the flagpole is <span>33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is 33 feet high.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is 33 feet high.