Answer:
4.61 m
Step-by-step explanation:
The angle of depression of the bottom of the shorter building from the top of the taller building = 48° equals the angle of elevation of the top of the taller building from the bottom of the shorter building
Using trig ratios
tan48° = H/d where H = height of taller building and d = their distance apart = 12 m
H = dtan48° = 12tan48° = 13.33 m
Also, the angle of elevation of the top of the shorter building from the bottom of the taller building is 36°
Using trig ratios
tan36° = h/d where h = height of shorter building
h =dtan36° = 12tan36° = 8.72 m
Now, the difference in height of the buildings is thus H - h = 13.33 m - 8.72 m = 4.61 m
Answer: C
Explanation: We need to combine like terms, which means 7a and -12a and -8 and 4
7-12=5 and -8+4=-4
Answer:
72
Step-by-step explanation:
5-4=1
9x1=9
9x2=18
18x4=72
Answer:
m<B = 60°
m<C = 60°
m<F = 80°
m<G = 80°
Step-by-step explanation:
m<B = 180° - 120° = 60°
m<C = m<B = 60° (Vertically opposite angles are equal)
m<F = 180° - (40° + m<C(60°)) = 80°
m<G = 180° - (m<H + m<B) = 180° - (40° + 60°) = 80°
The two number are 39 and 13
<em><u>Solution:</u></em>
Let the two numbers be "a" and "b"
Let the larger number be "a" and the smaller number be "b"
<em><u>Given that, sum of two numbers is 52</u></em>
a + b = 52 ---------- eqn 1
<em><u>One number is 3 times as large as the other number</u></em>
Larger number = 3 times smaller number
a = 3b -------- eqn 2
<em><u>Let us solve eqn 1and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
3b + b = 52
4b = 52
b = 13
<em><u>Substitute b = 13 in eqn 2</u></em>
a = 3(13)
a = 39
Thus the two number are 39 and 13
