You don't really need to do any calculations for this as the picture gives it away, but let's just understand the important concept behind this. Basically, tangent is opposite divided adjacent. So for this question:

When you solve for x, you are left with:

Then you need to add the 5 because his eyes cover up the bottom part of the tree, and therefore, your answer is D.
19.885 feet tall
The problem is similar triangles so you divide 24/7 to get the relation between them then multiply by 5.8 to get the height
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
<h3>a)</h3>
The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
<h3>b)</h3>
Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
Answer:
$2500 is invested at 5%
Step-by-step explanation:
$5000 is invested at 3% interest
= $5000 x 0.03 = $150
The two investments is $275 after one year: so $275 - $150 = $125
The second investment is $125 at 5%
So $125 / 0.05 = $2500
Answer: $2500 is invested at 5%
Answer:
1) n = 24
2) m = 18
3) x = 15
4) m = 30
y = 3
m = 2
k = 45
x = 4
k = 80
Step-by-step explanation:
Brainliest pls