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To find the distance across a lake, a
surveyor took the measurements in the
figure shown. Use these measurements to
determine how far it is across the lake.
a = ___ yd
(Round the answer to the nearest whole number.)

To find the distance across a lake a surveyor took the measurements in the figure shown Use these measurements to determine how far it is across the lake a yd R class=

Respuesta :

drippd4

Answer:

608 yard

Step-by-step explanation:

tan 50 degrees =a/510

a=tan 50 degrees x510

=608 yards

The distance across the lake, a is 611 yards

Right angle triangle:

Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,

Therefore,

tan 47° = opposite / adjacent

tan 47° = a / 570

cross multiply

a = 570 tan 47°

a = 570 × 1.07236871002

a = 611.250164714

a = 611 yards

learn more on right triangle here: https://brainly.com/question/18450490