Answer:
• subtract eqn(b) from eqn(a);
• find x :
You just subtract them
113,998-97,813=16,185
<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
