In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?
1 answer:
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Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula, , where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,
⇒
⇒ {We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
Answer:
20 degrees
Step-by-step explanation:
First, draw the triangle and label the sides and angles. (See the picture attached)
The red lines on sides FG and HF indicate that the sides are congruent since this is an isosceles triangle. Isosceles triangles have two congruent sides and angles.
All angles add up to 180 degrees. You were already given 140 for angle F. So, use to find angle h, subtract 140 from 180 and divide by 2.
180 - 140 = 40
40 / 2 = 20
Angle h is 20 degrees
