arc GT = 18 degrees, arc TA =32 degrees, arc NA =112 degrees, arc IN = 74 degrees. find measure of angle GET
1 answer:
You might be interested in
First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).
Answer:
The Distance cover by both the Runners is same = 10 miles
Step-by-step explanation:
According to question ,
The Speed of first runners (S 1) = 5 miles per hour
The speed of second runners (S 2) = 4 miles per hour
Let The Time taken by First runner (T 1 ) = T hour
But the second runner arrives half hour after the first runner ,
I.e The Time taken by Second runner (T 2) = ( T + )
Now from Distance = Speed × Time
Since both the runners start from same place and run along the same trail
SO ,Both the Distance cover by both are same , D 1 = D 2
i.e Speed 1 × Time 1 = Speed 2 × Time 2
5 mph × T = 4 mph × ( T + )
5 T = 4 T + ( 4 × )
Or, 5 T - 4 T = 2
∴ T = 2 hour ,
Time take by first = T1 = T = 2 hour
Time take by second = T2 = T + = (2 +
)hour =
Now the Distance cover = Speed × Time
Distance (D1) = 5 mph × 2 hour = 10 mile
And Distance (D2) = 4 mph × = 10 miles
Hence, As The Distance cover by both the Runners is same = 10 miles Answer