Answer: 34.64 m
Step-by-step explanation:
Given: A boat is 60 m from the base of a lighthouse.
The angle of depression between the lighthouse and the boat is 37°.
By using trigonometric ratios :

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

Hence, the lighthouse is 34.64 m tall.
Answer:
x = 5/4
y = 7/4
Step-by-step explanation:
The smaller triangle and the larger one are similar, so the sides are proportional.
(x+5)/5 = 10/8
x/5 + 1 = 1/4 + 1 . . . . . divide it out
x/5 = 1/4 . . . . . . . . . . .subtract 1
x = 5/4 . . . . . . . . . . . . multiply by 5
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For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...
y = 7/4
Answer:
The thing that gives corrects values for point A,B,C and D is....
Add a pic
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
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The rule of exponents is ...
a^-b = 1/(a^b)
Answer:
(f + g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –0.5
Step-by-step explanation: