In △PQR, find the measure of ∡P. A 30.4° B 35.9° C 59.6° D 54.1°
2 answers:
Answer:
Option B is correct.
the measure of ∡P is, 35.9°
Step-by-step explanation:
Using sine ratio:
....[1]
As per the statement:
In the given diagram △PQR:
Opposite side = QR = 33.8 units
Hypotenuse Side = PR = 57.6 units
Substitute in [1] we have;
⇒
Simplify:
degree
Therefore, the measure of angle P is, 35.9°
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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.