PLEASE HELP ME TO ANSWER THIS QUESTION.
A right pyramid PQRST has a rectangular base QRST. Given
that W is the midpoint of QS and RT, the lengths of QT = 8 cm,
TS = 6 cm and point P is vertically above point W, calculate
(a) PT, in cm, if PW = 12 cm
(b) the value of < PTR [angle PTR]
THANK YOU!!!
Answers
Answer:
(a) PT = 13 cm
(b) <PTR = [tex]39.7^{o}[/tex]
Step-by-step explanation:
(a) Applying the Pythagoras theorem to QST, we have;
[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]
= [tex]6^{2}[/tex] + [tex]8^{2}[/tex]
[tex]QS^{2}[/tex] = 36 + 64
100
QS = [tex]\sqrt{100}[/tex]
= 10
QS = 10 cm
Since QS = TR, then;
WT = [tex]\frac{1}{2}[/tex] TR
= [tex]\frac{1}{2}[/tex] x 10
WT = 5 cm
Thus, applying Pathagoras theorem to PWT;
[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]
= [tex]12^{2}[/tex] + [tex]5^{2}[/tex]
= 144 + 25
[tex]PT^{2}[/tex] = 169
PT = [tex]\sqrt{169}[/tex]
= 13
PT = 13 cm
(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ = [tex]\frac{10}{13}[/tex]
= 0.7692
θ = [tex]Cos^{-1}[/tex] 0.7692
= 39.7179
θ = [tex]39.7^{o}[/tex]
Therefore, <PTR = [tex]39.7^{o}[/tex]
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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I've been asking since yesterday :(
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Answers
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Your teacher has disabled instant marking. Your marks will appe
In the diagram below, LMOP is a rectangle whose perimeter is 30 cm.
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L
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M
N
Р
Calculate the length of MN.
You must show your working.
+
[4]
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............
Step-by-step explanation:
.............
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Answers
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Answers
9514 1404 393
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_____
Additional comment
This exercise shows you that the triple (3, 4, 5) will form a right triangle. It is the smallest integer "Pythagorean triple", and the only one that is an arithmetic sequence (the differences between the numbers are the same). You will see this a lot, sometimes multiplied by various factors: 6, 8, 10, for example. It is worth remembering.
Answer:
4
Step-by-step explanation:
Correct answers:
$4$
Let a represent the length of the leg and label a on the figure.
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Use 4 terms of the series to approximate :
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Answers
Answer:
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Step-by-step explanation:
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x= 10
-------------------------
hope it helps...
have a great day!!
Answer:
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Step-by-step explanation:
