Answer:
The measure of the angles are 40 degrees and 50 degrees
Step-by-step explanation:
Let
x ----> the measure of one angle in degrees
y ----> the measure of the complementary angle in degrees
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
----> equation A
we have that
----> equation B
Substitute equation B in equation A and solve for y

Find the value of x

therefore
The measure of the angles are 40 degrees and 50 degrees
The height of the skyscraper to the nearest tenth is 234. 95 meters.
<h3>How to determine the height</h3>
From the information given, we have:
- angle of elevation = 32°
- length of the base, adjacent side = 376 meters
- height of the skyscraper, opposite side = x meters
To determine the height of the elevator, let's use the tangent identity
We have that;
tan θ = opposite/ adjacent
The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper
Now, substitute the values, we have;
tan 32 = x/ 376
cross multiply
x = tan 32 × 376
x = 0. 6249 × 376
x = 234. 95 meters
We know that the 'x' represents the opposite side and thus the height of the skyscraper
Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.
Learn more about angle of elevation here:
brainly.com/question/19594654
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<span>The product of 7 and 0.04 is 0.28=true</span>
Answer: $1,780
Step-by-step explanation:
Joy Wigens deposited 1/3 of the check of $2,670 that she received in her Citibank account.
The amount she deposited in her Citibank account was:
= 1/3 * 2,670
= $890
The amount she is left with after this deposit will therefore be:
= Check amount - deposit at Citibank
= 2,670 - 890
= $1,780
Answer:
48
Step-by-step explanation:
We need to find the multiples of 8
8,16,24,32,40,48
48 is between 45 and 50 so he must have bought 48