Answer:
(1)55.5 feet
(2)7.5 feet
Step-by-step explanation:
<u>Question 1</u>
The diagram is attached below.
Using Trigonometric ratio
![\tan 48^\circ = \dfrac{h}{50} \\h=50 \times \tan 48^\circ\\h=55.5$ feet (to the nearest tenth)](https://tex.z-dn.net/?f=%5Ctan%2048%5E%5Ccirc%20%3D%20%5Cdfrac%7Bh%7D%7B50%7D%20%5C%5Ch%3D50%20%5Ctimes%20%5Ctan%2048%5E%5Ccirc%5C%5Ch%3D55.5%24%20feet%20%28to%20the%20nearest%20tenth%29)
The height of the house is 55.5 feet to the nearest tenth.
<u>Question 2</u>
In the diagram, we are required to find the distance the bird must fly to be directly above the fish. This has been represented by x.
Using Trigonometric ratio
![\tan 15^\circ = \dfrac{2}{x} \\x \tan 15^\circ=2\\x=2 \div \tan 15^\circ\\x=7.5 $ feet (to the nearest tenth)](https://tex.z-dn.net/?f=%5Ctan%2015%5E%5Ccirc%20%3D%20%5Cdfrac%7B2%7D%7Bx%7D%20%5C%5Cx%20%5Ctan%2015%5E%5Ccirc%3D2%5C%5Cx%3D2%20%5Cdiv%20%5Ctan%2015%5E%5Ccirc%5C%5Cx%3D7.5%20%24%20feet%20%28to%20the%20nearest%20tenth%29)
The distance the bird must fly to be directly above the fish is 7.5 feet.
With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)
B.16 because 800 divided by 50 is 16
The formula of circumference: 兀×diameter
In this case:
3.14×11
=34.54cm
Nearest hundreth = 2 demical places
Therefore, the answer is 34.54cm.
Hope it helps!
Step-by-step explanation:
Check the above photos....