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Svetllana [295]
3 years ago
12

AD is a diameter of circle ABCDE . Angle BAC=22° & angle ADC=60°. AE and ED are parallel lines. Find the values of w, x,y,an

d z

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

x = 22°

w = 30°

y = 30°

z = 52°

Step-by-step explanation:

From ΔACD,

AD is the diameter and ∠ACD is the angle subtended by the diameter.

Therefore, m∠ACD = 90°

By triangle sum theorem,

m∠DAC + m∠ACD + m∠CDA = 180°

w° + 90° + 60° = 180°

w = 180 - 150

w = 30°

AB║ED and AD is a transversal line.

Therefore, m∠BAD = m∠ADE

(w + 22)° = z°

30 + 22 = z

z = 52°

Since, ∠CEB and ∠BAC are the inscribed angles subtended by the same arc BC,

Therefore, m∠CEB = m∠BAC

x = 22°

Similarly, ∠CED and ∠DAC are the inscribed angles subtended by the same arc CD,

m∠CED = m∠DAC = 30°

y = 30°

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2 years ago
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zubka84 [21]
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3 years ago
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BaLLatris [955]

Answer:

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Need help doing this, please show steps. :)
Pavel [41]

Answer:

75.02 ft

Step-by-step explanation:

Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.

The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.

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