So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Answer:all
Step-by-step explanation:so because u have done all
Explanation
We are given the following right-angled triangle:
We are required to determine the indicated angle in the given figure.
This is achieved thus:
According to the image, we have:

Therefore, we have:

Hence, the answer is:
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u> </u></em><em><u>&</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em></h2>
Step-by-step explanation:
<h3>
<em><u>Given</u></em><em><u>, </u></em></h3>
(x+1, 10) = (4, 2y)
<u>First</u><u> </u><u>x</u><u> </u><u>coordinate</u><u>, </u>
x + 1 = 4
=> x = 4 - 1
=> <em>x = 3 (Ans) (i)</em>
<u>Second</u><u> </u><u>y</u><u> </u><u>coordinate</u><u>, </u>
10 = 2y

=> <em>y</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>(</em><em>Ans</em><em>)</em><em> </em><em>(</em><em>ii</em><em>)</em>