The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the skyscraper, hence:
tan(17) = h/294
h = 89.88 meter
Total height = 89.88 + 1.63 = 91.51 meter
The height of the skyscraper if the angle of elevation to the top of a prominent skyscraper to be 17° is 91.51 meter
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Answer:
12
Step-by-step explanation:
We input 2 into each function:
w(2) = 3(2) - 2 = 4
v(2) = 2(2) + 7 = 11
k(2) = -6(2) - 7 = -19
Then we place our answers in w - v - k
(4) - (11) - (-19)
= 4 - 11 + 19
= 12
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
The base is 3+(x), altitude is x so substitute. Now we know the area of a triangle is base X height X 1/2. Substitute again! 1/2 (3+x)(x)=35. Multiply both sides by 2 to cancel out the 1/2. Now you have (x)(x+3)=70 and you have to foil out the left side x^2+3x=70. Subtract 70 on both sides x^2+3x-70=0. Find two numbers that multiply to -70 and add to 3. Solve (x+10)(x-7)=0. the x value is 7. since you can't have negative length values. Substitute 7 into 3+x for the base so you know the base is 10 and the height is 7.
Answer:
D) 7.7 cm
Step-by-step explanation:
L/W=11cm/10cm=x/7cm
cross multiply to find x
10x=77
divide 10 by both sides
x=7.7
