The distance from the tower to the fire is 529.10feet
<h3>Angle of depression</h3>
The distance from the tower to the fire is the hypotenuse of the resulting triangle
Given the following
- Height of the tower = 110ft
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 12 = 110/H
H = 110/sin12
H = 110/0.2079
H = 529.10
Hence the distance from the tower to the fire is 529.10feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
{yI -5
y -1}
Step-by-step explanation:
Answer:
300 in.³
Step-by-step explanation:
We find the volume of 1 prism and multiply it by 2.
V = BH
where V = volume of prism, B = area of the base of the prism, H = height of the prism
V = ½bh × H
V = ½(5 in.)(6 in.) × 10 in.
V = 150 in.³
That is the volume of one triangular prism. Now we multiply it by 2.
volume = 2 × 150 in.³ = 300 in.³
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.
In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.
V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.
Answer:
½ mph
Step-by-step explanation:
1 mi. = 5280 ft.
2640⁄5280 = ½
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