Answer:
60.28.
Step-by-step explanation:
We need the sine function because we are given the opposite side and we need the hypotenuse.
sin 71 = 57 / x
Cross multiply
x * sin 71 = 57
x = 57 / sin 71
= 60.28.
Answer:
The height of the building is approximately <u>73 m</u>.
Step-by-step explanation:
The triangle EFG is shown below.
Given:
Length of shadow of building is, 
Angle of inclination of Sun with the vertical is 25°.
Therefore, the angle of inclination of Sun with the horizontal is given as:
Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,
Therefore, the height of the building is approximately 73 m.
Answer:
∠LOA≅∠LMA
Step-by-step explanation:
The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.
Answer:
C Jacob
Step-by-step explanation:
Alfredo: 157.5/18 = 8.75
Helene: 198/24 = 8.25
Jacob: 142.5/15 = 9.53
Leonna: 111/12 = 9.25
Assuming the shape is a piece of a circle, you can determine the ratio of the shape to a full circle. A full circle will have 360 degree but this shape is only 40 degree. Then the ratio would be: 40/360= 1/9 full circle.
Then, using the circle area formula, the area of the 1/9 circle would be:
full circle area= pi * r^2
full circle area= 22/7 * 6^2
full circle area= 792/7
1/9 full circle area= 792/7*9= 88/7 = 12.57
