Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n
ext value. Round your final answer to the nearest tenth.
1 answer:
Answer:
11.7
Step-by-step explanation:
Let H be the heipotenys of the big triangle:
- sin68° = 26/H
- H= 26/sin68°
H= 28.04
Let's calculate the third side using the pythagorian theorem:
H²= 26²+ d²(the third side)
d² = 28.04²-26²= 110.24
d= 10.49
let's calculate x now
- tan42°= 10.49/x
- x= 10.49/tan42°
x= 11.65 ≈ 11.7
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