Find the value of x in the figure

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

the correct ans is 37 .

(4x+2)° = 150°.... opposite angles of measure are

congruent.

4x+2 = 150

4x = 150-2

4x = 148

x = 148/4

x = 37.

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Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

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Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

$cos \theta = \frac{h}{L}$