Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
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<h3>setup</h3>
The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>
Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
Answer:
45
Step-by-step explanation:
corresponding angles are congruent
3 and 7 are corresponding
The inscribed angle theorem says that the measure of angle BDC is 2 times larger than the measure of angle BAC.
Angle CBD has measure 44 degrees, and we're told angles CBD and BCD are congruent. This means triangle BCD is isosceles.
The interior angle measures of any triangle add up to 180 degrees, so the measure of angle BDC must be

Then
.
Step-by-step explanation:
to rationalise the denominator, you need to multiply the denominator with itself and the numerator.