Find the measurements of the unknown angles in this figure
1 answer:
Answer:
x = 30° ; y = 45°
Step-by-step explanation:
Angle subtended by the diameter on any point of the circle is 90°. So,angleRSP = 90°
angleRST = 120° (given)
But,
angleRST = angleRSP + anglePST
In triangle PQR , PQ = RQ (given)
Hence , it is an isosceles triangle. As it is an isosceles triangle , the base angles are equal.
=> anglePRQ = angleRPQ = y°
anglePQR = 90° (Angle subtended by diameter on any point of circle is 90°)
According to Angle Sum Property of Triangle,
anglePRQ + angleRPQ = anglePQR
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Given :
As a plane takes off it ascends at a 20 degree angle of elevation.
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :
H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.